{"id":1064,"date":"2026-01-12T14:15:17","date_gmt":"2026-01-12T04:15:17","guid":{"rendered":"https:\/\/archive4ones.com\/2ndstudy\/?p=1064"},"modified":"2026-01-12T14:15:17","modified_gmt":"2026-01-12T04:15:17","slug":"year11-math-2-1-3-linear-equations-and-graphs","status":"publish","type":"post","link":"https:\/\/archive4ones.com\/2ndstudy\/?p=1064","title":{"rendered":"Year11-MATH-2-1-3 Linear Equations and Graphs"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">A linear equation is an equation where the highest exponent of the variables is 1, resulting in a straight line when graphed on a coordinate plane. The most common form used in this context is the <strong>slope-intercept form<\/strong>:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u00a0 <math data-latex=\"y=mx+b\"><semantics><mrow><mi>y<\/mi><mo>=<\/mo><mi>m<\/mi><mi>x<\/mi><mo>+<\/mo><mi>b<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">y=mx+b<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Where:&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>x is the independent variable (input).<\/li>\n\n\n\n<li>y is the dependent variable (output).<\/li>\n\n\n\n<li>m is the <strong>slope<\/strong> or gradient, representing the constant rate of change or the &#8220;steepness&#8221; of the line. It&#8217;s calculated as the rise over the run.<\/li>\n\n\n\n<li>b is the <strong>y-intercept<\/strong>, which is the value of y when x is zero (where the line crosses the vertical axis), representing the starting or base value.\u00a0<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Students learn to:&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Develop a linear equation from a word description or given two points.<\/li>\n\n\n\n<li>Construct straight-line graphs, with or without technology, by finding two points or using the slope and intercept.<\/li>\n\n\n\n<li>Interpret the slope and intercept within the context of a practical problem (e.g., the slope might be the cost per litre of fuel, and the intercept the initial service fee).<\/li>\n\n\n\n<li>Solve simultaneous linear equations to find the point of intersection of two lines, which can represent a break-even point in business studies, for example.\u00a0<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Trend Analysis&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Trend analysis<\/strong> in this context involves using linear relationships to identify and describe patterns in data and make informed predictions about future or unknown values. This is often done using real-world data plotted on a scatter plot, where a perfect straight line is unlikely due to variability.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Key aspects include:&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Identifying Trends:<\/strong> Using a <strong>trend line<\/strong> (also known as a line of best fit) to visually represent the general direction of the data points.<\/li>\n\n\n\n<li><strong>Interpreting Slope:<\/strong>\n<ul class=\"wp-block-list\">\n<li>A positive slope indicates a <strong>positive association<\/strong> (as x increases, y tends to increase).<\/li>\n\n\n\n<li>A negative slope indicates a <strong>negative association<\/strong> (as x increases, y tends to decrease).<\/li>\n\n\n\n<li>A slope near zero suggests no significant linear relationship.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Linear Modelling:<\/strong> The process of using a linear equation to represent a real-world situation, such as modelling the distance travelled over time or population changes.<\/li>\n\n\n\n<li><strong>Making Predictions:<\/strong> Using the equation of the trend line to estimate values within (interpolation) or sometimes beyond (extrapolation) the existing data range, while understanding the limitations and potential unreliability of extrapolating too far.\u00a0<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">In summary, Year 11 students move from simple algebraic manipulation of linear equations to applying these concepts to model and analyse practical situations, making predictions and interpreting the meaning of the graphs and equations in context.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>&gt;&gt; Example: y = 2x +1<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A graph of a linear equation is a <strong>straight line<\/strong>, representing the relationship between variables, often shown as , where m is the slope (steepness) and is the <a href=\"https:\/\/www.google.com\/search?q=y-intercept&amp;sca_esv=d51e216224ab4eeb&amp;ei=4WVkaaKCDN6SseMPia6F4A4&amp;ved=2ahUKEwivwd-NhYWSAxVn5TQHHe1WNGMQgK4QegQIAhAF&amp;oq=Graph+example+of+linear+equations.&amp;gs_lp=Egxnd3Mtd2l6LXNlcnAiIkdyYXBoIGV4YW1wbGUgb2YgbGluZWFyIGVxdWF0aW9ucy4yBhAAGBYYHjIGEAAYFhgeMgsQABiABBiGAxiKBTIIEAAYgAQYogQyCBAAGKIEGIkFMggQABiABBiiBDIIEAAYgAQYogRI8M8EUNkSWPiyBHADeAGQAQCYAaUCoAHBKqoBBjAuMjcuMrgBDMgBAPgBAZgCIKAC0y3CAgoQABiwAxjWBBhHwgIHEAAYgAQYDcICCBAAGAcYCBgewgIFEAAY7wXCAgYQABgIGB7CAgQQIRgKwgIIECEYoAEYwwSYAwCIBgGQBgiSBwgzLjIwLjguMaAH_KIBsgcIMC4yMC44LjG4B6gtwgcJMC4xLjE2LjE1yAecAoAIAA&amp;sclient=gws-wiz-serp&amp;mstk=AUtExfCfrqTqMST6hz1ruezayZ0cwQ0BZ6GIVfyzXgIK_1EpajtRYnNxANXc5aO3fGzlZqnMl1ZRZwtRPH-lYPlKIi9Qw9ELV__rGCbemKAftJS_sO6ilQl6QrUjWEcZomCvlPLUN_apEZROmCAiRyVLIOv8wzw9jA0ngn4Me7C9_RggIIGY05vi55YoRJ7N5Qb7GEyz&amp;csui=3\">y-<\/a>intercept (where it crosses the y-axis). For example, in y = 2x + 1, the line crosses the y-axis at (0, 1) and rises 2 units for every 1 unit it moves to the right, forming a clear straight line when points like (-1, -1), (0, 1), and (1, 3) are plotted and connected.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Example:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Identify Slope &amp; Y-intercept<\/strong>:<\/li>\n\n\n\n<li><strong>Slope (<\/strong><math data-latex=\"m\"><semantics><mi>m<\/mi><annotation encoding=\"application\/x-tex\">m<\/annotation><\/semantics><\/math><strong>)<\/strong>: 2 (meaning &#8216;rise 2, run 1&#8217;).<\/li>\n\n\n\n<li><strong>Y-intercept (<\/strong><math data-latex=\"c\"><semantics><mi>c<\/mi><annotation encoding=\"application\/x-tex\">c<\/annotation><\/semantics><\/math><strong>)<\/strong>: 1 (the point (0, 1)).<\/li>\n<\/ol>\n\n\n\n<ol start=\"2\" class=\"wp-block-list\">\n<li><strong>Plot Points (Table Method)<\/strong>:\n<ul class=\"wp-block-list\">\n<li>Choose x-values (e.g., -1, 0, 1).<\/li>\n\n\n\n<li>Calculate y-values using the equation.<\/li>\n\n\n\n<li>Points: (-1, -1), (0, 1), (1, 3).<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Graph<\/strong>:\n<ul class=\"wp-block-list\">\n<li>Plot the points on a coordinate plane.<\/li>\n\n\n\n<li>Draw a straight line through them.\u00a0<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<p class=\"wp-block-paragraph\">Visual Representation<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"640\" height=\"360\" src=\"https:\/\/archive4ones.com\/2ndstudy\/wp-content\/uploads\/sites\/8\/2026\/01\/y2x1.png\" alt=\"\" class=\"wp-image-1065\" srcset=\"https:\/\/archive4ones.com\/2ndstudy\/wp-content\/uploads\/sites\/8\/2026\/01\/y2x1.png 640w, https:\/\/archive4ones.com\/2ndstudy\/wp-content\/uploads\/sites\/8\/2026\/01\/y2x1-300x169.png 300w\" sizes=\"auto, (max-width: 640px) 100vw, 640px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><br>********************************************************************************************************************************************************<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u30aa\u30fc\u30b9\u30c8\u30e9\u30ea\u30a2\u306e11\u5e74\u751f\u4e00\u822c\u6570\u5b66\u3067\u306f\u3001\u7dda\u5f62\u65b9\u7a0b\u5f0f\u3068\u305d\u306e\u30b0\u30e9\u30d5\u306e\u30c8\u30d4\u30c3\u30af\u3067\u3001\u76f4\u7dda\u30b0\u30e9\u30d5\u3092\u7528\u3044\u3066\u73fe\u5b9f\u4e16\u754c\u306e\u5b9f\u969b\u7684\u306a\u72b6\u6cc1\uff08\u71c3\u6599\u8cbb\u3001\u4eba\u53e3\u5897\u52a0\u3001\u5358\u7d14\u306a\u904b\u52d5\u306a\u3069\uff09\u3092\u30e2\u30c7\u30eb\u5316\u3001\u5206\u6790\u3001\u89e3\u91c8\u3057\u3001\u4e88\u6e2c\u3092\u884c\u3046\u3053\u3068\u306b\u7126\u70b9\u3092\u5f53\u3066\u3066\u3044\u307e\u3059\u3002\u3053\u308c\u306f\u50be\u5411\u5206\u6790\u306e\u672c\u8cea\u3067\u3059\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u7dda\u5f62\u65b9\u7a0b\u5f0f\u3068\u30b0\u30e9\u30d5<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u7dda\u5f62\u65b9\u7a0b\u5f0f\u3068\u306f\u3001\u5909\u6570\u306e\u6700\u5927\u306e\u6307\u6570\u304c1\u3067\u3042\u308b\u65b9\u7a0b\u5f0f\u3067\u3001\u5ea7\u6a19\u5e73\u9762\u4e0a\u306b\u30b0\u30e9\u30d5\u5316\u3059\u308b\u3068\u76f4\u7dda\u306b\u306a\u308a\u307e\u3059\u3002\u3053\u306e\u6587\u8108\u3067\u6700\u3082\u3088\u304f\u4f7f\u308f\u308c\u308b\u5f62\u5f0f\u306f\u3001\u50be\u304d\u30fb\u5207\u7247\u5f62\u5f0f\u3067\u3059\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u3053\u3053\u3067\uff1a<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u2022 x \u306f\u72ec\u7acb\u5909\u6570\uff08\u5165\u529b\uff09\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u2022 y \u306f\u5f93\u5c5e\u5909\u6570\uff08\u51fa\u529b\uff09\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u2022 m \u306f\u50be\u304d\u307e\u305f\u306f\u52fe\u914d\u3067\u3001\u4e00\u5b9a\u306e\u5909\u5316\u7387\u3001\u3064\u307e\u308a\u76f4\u7dda\u306e\u300c\u50be\u304d\u300d\u3092\u8868\u3057\u307e\u3059\u3002\u3053\u308c\u306f\u3001\u4e0a\u6607\u7387\u3092\u4e0a\u6607\u7387\u3067\u5272\u3063\u305f\u5024\u3068\u3057\u3066\u8a08\u7b97\u3055\u308c\u307e\u3059\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u2022 b \u306f y \u5207\u7247\u3067\u3001x \u304c 0 \u306e\u3068\u304d\uff08\u76f4\u7dda\u304c\u7e26\u8ef8\u3068\u4ea4\u5dee\u3059\u308b\u70b9\uff09\u306e y \u306e\u5024\u3067\u3042\u308a\u3001\u958b\u59cb\u5024\u307e\u305f\u306f\u57fa\u6e96\u5024\u3092\u8868\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u751f\u5f92\u306f\u4ee5\u4e0b\u306e\u3053\u3068\u3092\u5b66\u3073\u307e\u3059\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u2022 \u8a00\u8449\u306b\u3088\u308b\u8aac\u660e\u307e\u305f\u306f\u4e0e\u3048\u3089\u308c\u305f 2 \u70b9\u304b\u3089\u7dda\u5f62\u65b9\u7a0b\u5f0f\u3092\u7acb\u3066\u308b\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u2022 \u30c6\u30af\u30ce\u30ed\u30b8\u30fc\u306e\u6709\u7121\u306b\u304b\u304b\u308f\u3089\u305a\u30012 \u70b9\u3092\u6c42\u3081\u308b\u304b\u50be\u304d\u3068\u5207\u7247\u3092\u7528\u3044\u3066\u76f4\u7dda\u30b0\u30e9\u30d5\u3092\u4f5c\u6210\u3059\u308b\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u2022 \u5b9f\u969b\u306e\u554f\u984c\u306e\u6587\u8108\u306b\u304a\u3044\u3066\u50be\u304d\u3068\u5207\u7247\u3092\u89e3\u91c8\u3059\u308b\uff08\u4f8b\uff1a\u50be\u304d\u306f\u71c3\u6599 1 \u30ea\u30c3\u30c8\u30eb\u3042\u305f\u308a\u306e\u30b3\u30b9\u30c8\u3001\u5207\u7247\u306f\u521d\u671f\u30b5\u30fc\u30d3\u30b9\u6599\u91d1\uff09\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u2022 \u9023\u7acb\u7dda\u5f62\u65b9\u7a0b\u5f0f\u3092\u89e3\u3044\u3066 2 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class=\"wp-block-paragraph\">\u3053\u306e\u6587\u8108\u306b\u304a\u3051\u308b\u50be\u5411\u5206\u6790\u3067\u306f\u3001\u7dda\u5f62\u95a2\u4fc2\u3092\u7528\u3044\u3066\u30c7\u30fc\u30bf\u306e\u30d1\u30bf\u30fc\u30f3\u3092\u8b58\u5225\u30fb\u8aac\u660e\u3057\u3001\u5c06\u6765\u306e\u5024\u3084\u672a\u77e5\u306e\u5024\u306b\u3064\u3044\u3066\u60c5\u5831\u306b\u57fa\u3065\u3044\u305f\u4e88\u6e2c\u3092\u884c\u3044\u307e\u3059\u3002\u3053\u308c\u306f\u3001\u591a\u304f\u306e\u5834\u5408\u3001\u6563\u5e03\u56f3\u306b\u30d7\u30ed\u30c3\u30c8\u3055\u308c\u305f\u5b9f\u969b\u306e\u30c7\u30fc\u30bf\u3092\u7528\u3044\u3066\u884c\u308f\u308c\u307e\u3059\u304c\u3001\u5909\u52d5\u6027\u306e\u305f\u3081\u306b\u5b8c\u5168\u306a\u76f4\u7dda\u3068\u306a\u308b\u53ef\u80fd\u6027\u306f\u4f4e\u3044\u304b\u3089\u3067\u3059\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e3b\u306a\u5074\u9762\u306f\u4ee5\u4e0b\u306e\u3068\u304a\u308a\u3067\u3059\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u2022 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class=\"wp-block-paragraph\">\u25e6 \u50be\u304d\u304c\u30bc\u30ed\u306b\u8fd1\u3044\u5834\u5408\u3001\u6709\u610f\u306a\u7dda\u5f62\u95a2\u4fc2\u304c\u306a\u3044\u3053\u3068\u3092\u793a\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u2022 \u7dda\u5f62\u30e2\u30c7\u30ea\u30f3\u30b0\uff1a\u6642\u9593\u306e\u7d4c\u904e\u306b\u4f34\u3046\u79fb\u52d5\u8ddd\u96e2\u3084\u4eba\u53e3\u306e\u5909\u5316\u3092\u30e2\u30c7\u30eb\u5316\u3059\u308b\u306a\u3069\u3001\u7dda\u5f62\u65b9\u7a0b\u5f0f\u3092\u4f7f\u7528\u3057\u3066\u73fe\u5b9f\u4e16\u754c\u306e\u72b6\u6cc1\u3092\u8868\u3059\u30d7\u30ed\u30bb\u30b9\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u2022 \u4e88\u6e2c\uff1a\u50be\u5411\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u4f7f\u7528\u3057\u3066\u3001\u65e2\u5b58\u306e\u30c7\u30fc\u30bf\u7bc4\u56f2\u5185\uff08\u5185\u633f\uff09\u307e\u305f\u306f\u5834\u5408\u306b\u3088\u3063\u3066\u306f\u7bc4\u56f2\u5916\uff08\u5916\u633f\uff09\u306e\u5024\u3092\u63a8\u5b9a\u3057\u307e\u3059\u3002\u5916\u633f\u3057\u3059\u304e\u308b\u3068\u3001\u9650\u754c\u3068\u4fe1\u983c\u6027\u304c\u4f4e\u4e0b\u3059\u308b\u53ef\u80fd\u6027\u304c\u3042\u308b\u3053\u3068\u3092\u7406\u89e3\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8981\u7d04\u3059\u308b\u3068\u300111 \u5e74\u751f\u306e\u751f\u5f92\u306f\u3001\u5358\u7d14\u306a\u4ee3\u6570\u7684\u7dda\u5f62\u65b9\u7a0b\u5f0f\u306e\u64cd\u4f5c\u304b\u3089\u3001\u3053\u308c\u3089\u306e\u6982\u5ff5\u3092\u9069\u7528\u3057\u3066\u5b9f\u969b\u306e\u72b6\u6cc1\u3092\u30e2\u30c7\u30eb\u5316\u304a\u3088\u3073\u5206\u6790\u3057\u3001\u4e88\u6e2c\u3092\u884c\u3044\u3001\u6587\u8108\u306b\u304a\u3051\u308b\u30b0\u30e9\u30d5\u3068\u65b9\u7a0b\u5f0f\u306e\u610f\u5473\u3092\u89e3\u91c8\u3059\u308b\u6bb5\u968e\u306b\u9032\u307f\u307e\u3059\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">&gt;&gt; \u4f8b: y = 2x +1<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e00\u6b21\u65b9\u7a0b\u5f0f\u306e\u30b0\u30e9\u30d5\u306f\u76f4\u7dda\u3067\u3001\u5909\u6570\u9593\u306e\u95a2\u4fc2\u3092\u8868\u3057\u307e\u3059\u3002\u591a\u304f\u306e\u5834\u5408\u3001 \u3068\u8868\u8a18\u3055\u308c\u307e\u3059\u3002\u3053\u3053\u3067\u3001m \u306f\u50be\u304d\uff08\u52fe\u914d\uff09\u3001 \u306fy\u5207\u7247\uff08y\u8ef8\u3068\u4ea4\u308f\u308b\u70b9\uff09\u3067\u3059\u3002\u4f8b\u3048\u3070\u3001y = 2x + 1 \u306e\u5834\u5408\u3001\u76f4\u7dda\u306fy\u8ef8\u3068\u70b9 (0, 1) \u3067\u4ea4\u308f\u308a\u3001\u53f3\u306b1\u5358\u4f4d\u79fb\u52d5\u3059\u308b\u3054\u3068\u306b2\u5358\u4f4d\u4e0a\u6607\u3057\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001(-1, -1)\u3001(0, 1)\u3001(1, 3) \u306a\u3069\u306e\u70b9\u3092\u30d7\u30ed\u30c3\u30c8\u3057\u3066\u7d50\u3076\u3068\u3001\u660e\u78ba\u306a\u76f4\u7dda\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f8b: y = 2x + 1<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">1. \u50be\u304d\u3068y\u5207\u7247\u3092\u7279\u5b9a\u3059\u308b:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u25e6 \u50be\u304d (<math data-latex=\"m\"><semantics><mi>m<\/mi><annotation encoding=\"application\/x-tex\">m<\/annotation><\/semantics><\/math>): 2 (\u300c\u4e0a\u66072\u3001\u4e0b\u964d1\u300d\u3092\u610f\u5473\u3057\u307e\u3059)\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u25e6 y\u5207\u7247 (<math data-latex=\"c\"><semantics><mi>c<\/mi><annotation encoding=\"application\/x-tex\">c<\/annotation><\/semantics><\/math>): 1 (\u70b9 (0, 1))\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">2. \u70b9\u306e\u30d7\u30ed\u30c3\u30c8\uff08\u8868\u65b9\u5f0f\uff09\uff1a<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u25e6 x \u5024\u3092\u9078\u629e\u3057\u307e\u3059\uff08\u4f8b\uff1a-1, 0, 1\uff09\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u25e6 \u5f0f\u3092\u4f7f\u7528\u3057\u3066 y \u5024\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u25e6 \u70b9\uff1a(-1, -1)\u3001(0, 1)\u3001(1, 3)\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">3. \u30b0\u30e9\u30d5\uff1a<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u25e6 \u5ea7\u6a19\u5e73\u9762\u4e0a\u306b\u70b9\u3092\u30d7\u30ed\u30c3\u30c8\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u25e6 \u70b9\u3092\u901a\u308b\u76f4\u7dda\u3092\u63cf\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n","protected":false},"excerpt":{"rendered":"<p>A linear equation is an equation where the highest exponent of the variables is 1, resulting in a straight line when graphed on a coordinate plane. The most common form used in this context is the slope-intercept form: \u00a0 y=mx+by=mx+b Where:&nbsp; Students learn to:&nbsp; Trend Analysis&nbsp; Trend analysis in this context involves using linear relationships [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[8],"tags":[],"class_list":["post-1064","post","type-post","status-publish","format-standard","hentry","category-math"],"_links":{"self":[{"href":"https:\/\/archive4ones.com\/2ndstudy\/index.php?rest_route=\/wp\/v2\/posts\/1064","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/archive4ones.com\/2ndstudy\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/archive4ones.com\/2ndstudy\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/archive4ones.com\/2ndstudy\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/archive4ones.com\/2ndstudy\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1064"}],"version-history":[{"count":1,"href":"https:\/\/archive4ones.com\/2ndstudy\/index.php?rest_route=\/wp\/v2\/posts\/1064\/revisions"}],"predecessor-version":[{"id":1067,"href":"https:\/\/archive4ones.com\/2ndstudy\/index.php?rest_route=\/wp\/v2\/posts\/1064\/revisions\/1067"}],"wp:attachment":[{"href":"https:\/\/archive4ones.com\/2ndstudy\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1064"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/archive4ones.com\/2ndstudy\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1064"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/archive4ones.com\/2ndstudy\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1064"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}