{"id":16490,"date":"2025-06-11T14:08:49","date_gmt":"2025-06-11T14:08:49","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=16490"},"modified":"2025-06-11T14:08:50","modified_gmt":"2025-06-11T14:08:50","slug":"write-an-equation-in-slope-intercept-form-for-the-line-with-slope-43-and-y-intercept-%e2%88%924","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/write-an-equation-in-slope-intercept-form-for-the-line-with-slope-43-and-y-intercept-%e2%88%924\/","title":{"rendered":"Write an equation in slope-intercept form for the line with slope 43 and y -intercept \u22124"},"content":{"rendered":"\n<p>Write an equation in slope-intercept form for the line with slope 43 and y -intercept \u22124 .<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\"><strong>The correct answer and explanation is:<\/strong><\/mark><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Correct Answer:<\/h3>\n\n\n\n<p>The equation in <strong>slope-intercept form<\/strong> is: y=43x\u22124y = 43x &#8211; 4<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation (Approximately 300 words):<\/h3>\n\n\n\n<p>To write the equation of a line in <strong>slope-intercept form<\/strong>, we use the general formula: y=mx+by = mx + b<\/p>\n\n\n\n<p>Where:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>yy and xx are variables representing coordinates on the line.<\/li>\n\n\n\n<li>mm is the <strong>slope<\/strong> of the line.<\/li>\n\n\n\n<li>bb is the <strong>y-intercept<\/strong>, which is the point where the line crosses the y-axis.<\/li>\n<\/ul>\n\n\n\n<p>In this problem, the slope mm is given as <strong>43<\/strong>, and the y-intercept bb is given as <strong>\u22124<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step-by-Step Process:<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Identify the values given:<\/strong>\n<ul class=\"wp-block-list\">\n<li>Slope m=43m = 43<\/li>\n\n\n\n<li>Y-intercept b=\u22124b = -4<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Substitute<\/strong> these values into the slope-intercept form equation:<\/li>\n<\/ol>\n\n\n\n<p>y=mx+by = mx + b y=43x\u22124y = 43x &#8211; 4<\/p>\n\n\n\n<p>That\u2019s it! This is the equation of the line.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">What Does This Mean?<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The slope 4343 tells us that for every <strong>1 unit increase<\/strong> in xx, the value of yy increases by <strong>43 units<\/strong>. This line is very steep and rises quickly from left to right.<\/li>\n\n\n\n<li>The y-intercept \u22124-4 means the line crosses the y-axis at the point (0,\u22124)(0, -4).<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Why This Matters:<\/h3>\n\n\n\n<p>Slope-intercept form is useful in algebra and real-world applications like graphing, trend analysis, and making predictions. For example, if this line represented a business&#8217;s revenue over time, a steep slope like 43 would indicate rapid growth. The y-intercept could represent a starting loss or investment of $4, depending on the context.<\/p>\n\n\n\n<p>In summary, by knowing the slope and the y-intercept, we can construct the entire linear equation and understand its behavior on a graph.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Write an equation in slope-intercept form for the line with slope 43 and y -intercept \u22124 . The correct answer and explanation is: Correct Answer: The equation in slope-intercept form is: y=43x\u22124y = 43x &#8211; 4 Explanation (Approximately 300 words): To write the equation of a line in slope-intercept form, we use the general formula: [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-16490","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/16490","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=16490"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/16490\/revisions"}],"predecessor-version":[{"id":16491,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/16490\/revisions\/16491"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=16490"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=16490"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=16490"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}