{"id":37990,"date":"2024-07-13T10:57:19","date_gmt":"2024-07-13T10:57:19","guid":{"rendered":"https:\/\/www.greatassignmenthelp.com\/questions\/?p=37990"},"modified":"2024-07-13T11:02:41","modified_gmt":"2024-07-13T11:02:41","slug":"which-graph-matches-the-equation-y32x3","status":"publish","type":"post","link":"https:\/\/www.greatassignmenthelp.com\/questions\/which-graph-matches-the-equation-y32x3\/","title":{"rendered":"which graph matches the equation y+3=2(x+3)?"},"content":{"rendered":"<p data-pm-slice=\"1 1 []\">which graph matches the equation y+3=2(x+3)?<\/p>\n<p><strong>Answer:<\/strong><\/p>\n<p>To find the match of the graph to the given equation, it is necessary to transform the equation given into the slope-intercept form first.<\/p>\n<p>First, we distribute the 2 on the right side of the equation:<\/p>\n<p>y + 3 = 2 x + 6<\/p>\n<p>Then, we subtract 3 from both sides to isolate y:<\/p>\n<p>y = 2x + 4<\/p>\n<p>It is now in the slope-intercept form drawn as y =mx + b with m as the slope and b as the y-intercept. Therefore, for the expression, ax +b, the coefficient of x is 2 and measures the same value as the y-intercept value of 3.<\/p>\n<p>Overlaying this equation in a graph, the first thing to note would be that it passes through the y-axis at a point = 3. Then, as the slope is 2, we would proceed further to construct more points shifting one unit right and two units up. This process would give a straight line passing through the point (0, 3) meeting the y-axis at this point and having a positive slope of 2.<\/p>\n<p>The graph matching this equation would have the following coordinates:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-37993\" src=\"https:\/\/www.greatassignmenthelp.com\/questions\/wp-content\/uploads\/2024\/07\/Screenshot-2024-07-13-at-4.29.54\u202fPM-300x186.png\" alt=\"\" width=\"300\" height=\"186\" srcset=\"https:\/\/www.greatassignmenthelp.com\/questions\/wp-content\/uploads\/2024\/07\/Screenshot-2024-07-13-at-4.29.54\u202fPM-300x186.png 300w, https:\/\/www.greatassignmenthelp.com\/questions\/wp-content\/uploads\/2024\/07\/Screenshot-2024-07-13-at-4.29.54\u202fPM-1024x634.png 1024w, https:\/\/www.greatassignmenthelp.com\/questions\/wp-content\/uploads\/2024\/07\/Screenshot-2024-07-13-at-4.29.54\u202fPM-768x475.png 768w, https:\/\/www.greatassignmenthelp.com\/questions\/wp-content\/uploads\/2024\/07\/Screenshot-2024-07-13-at-4.29.54\u202fPM.png 1186w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>&nbsp;<\/p>\n<p>The following linear equation can describe this given graph, y = 2x + 3, and is a line that passes through the origin and rises upwards. Points can define the line, Example points are P(0,3), Q(1,5), and R(2,7).<\/p>\n<p>To confirm if a given graph matches this equation, we would look for these key features: This page intersects the y-axis at (0,3 or 3,0) and has a slope of 2 or -2. The correct graph would be; it is a straight line that goes through the point (0, 3) each time it increments 1 unit horizontally it increments 2 units vertically (Myassignmenthelp.com, 2024).<\/p>\n","protected":false},"excerpt":{"rendered":"<p>which graph matches the equation y+3=2(x+3)? Answer: To find the match of the graph to the given equation, it is necessary to transform the equation [&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":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v23.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>which graph matches the equation y+3=2(x+3)?<\/title>\n<meta name=\"description\" content=\"which graph matches the equation y+3=2(x+3)?\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.greatassignmenthelp.com\/questions\/which-graph-matches-the-equation-y32x3\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"which graph matches the equation y+3=2(x+3)?\" \/>\n<meta property=\"og:description\" content=\"which graph matches the equation y+3=2(x+3)?\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.greatassignmenthelp.com\/questions\/which-graph-matches-the-equation-y32x3\/\" \/>\n<meta property=\"og:site_name\" content=\"Questions - 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