{"id":3683,"date":"2014-02-26T18:44:30","date_gmt":"2014-02-26T18:44:30","guid":{"rendered":"http:\/\/www.oracletutoring.ca\/blog\/?p=3683"},"modified":"2018-02-20T17:28:45","modified_gmt":"2018-02-20T17:28:45","slug":"math-how-to-graph-a-line","status":"publish","type":"post","link":"https:\/\/www.oracletutoring.ca\/blog\/math-how-to-graph-a-line\/","title":{"rendered":"Math:  how to graph a line"},"content":{"rendered":"<h1>When you tutor math, you know that everyone from grade 9 up needs to know this.<\/h1>\n<p>Suppose you need to graph 2x &#8211; 7y = 21.  There are two basic methods:  the slope-y intercept method, and the intercepts method.  Today, we will use the intercepts method:  it&#8217;s quicker.<\/p>\n<p><strong>Example:<\/strong>  Graph 2x &#8211; 7y = 21<\/p>\n<p>Solution:<\/p>\n<p>We need to make a quick table of values, which we get by inserting 0 in one variable, then solving for the other.  First, let&#8217;s &#8220;plug in&#8221; zero for x:<\/p>\n<p>2(0) &#8211; 7y =21<\/p>\n<p>Since 2(0) is just zero, we arrive at<\/p>\n<p>-7y=21<\/p>\n<p>Dividing both sides by -7 to find y, we get<\/p>\n<p>y=-3<\/p>\n<p>So, when x=0, y=-3.  We enter that result in our table:<\/p>\n<table>\n<tr>\n<td><b>x<\/b><\/td>\n<td><b>y<\/b><\/td>\n<tr>\n<td>0<\/td>\n<td>-3<\/td>\n<\/tr>\n<\/table>\n<p>Next, we ask about when y=0.  Therefore, we plug 0 in for y as follows:<\/p>\n<p>2x &#8211; 7(0) = 21<\/p>\n<p>Once again:  7(0) is just zero, so we continue:<\/p>\n<p>2x=21<\/p>\n<p>Dividing by 2 on both sides, we arrive at<\/p>\n<p>x=10.5<\/p>\n<p>So, when y=0, x=10.5.  We write that result in our table:<\/p>\n<table>\n<tr>\n<td><b>x<\/b><\/td>\n<td><strong>y<\/strong><\/td>\n<\/tr>\n<tr>\n<td>0<\/td>\n<td>-3<\/td>\n<\/tr>\n<tr>\n<td>10.5<\/td>\n<td>0<\/td>\n<\/tr>\n<\/table>\n<p>Now it&#8217;s time to graph the result.  From the table, we know that (0,-3) and (10.5,0) are points on our line.  For a brush-up on how to graph points, see my post <a href=\"?p=2563\">here<\/a>.  What we basically need to know is that to graph a point, we start from the origin (the center point), then go across the first number, up (or down) the second, and mark the point.<\/p>\n<p>Once we&#8217;ve got the two points marked, we draw a line through them both.  Like this:<\/p>\n<p><img decoding=\"async\" src=\"\/..\/graphfeb26.png\"\/><\/p>\n<p>Look for more coverage on graphing lines in future posts:)<\/p>\n<p>Jack of <a href=\"https:\/\/www.oracletutoring.ca\">Oracle Tutoring by Jack and Diane,<\/a> Campbell River, BC.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>When you tutor math, you know that everyone from grade 9 up needs to know this. Suppose you need to graph 2x &#8211; 7y = 21. There are two basic methods: the slope-y intercept method, and the intercepts method. Today, &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"more-link\" href=\"https:\/\/www.oracletutoring.ca\/blog\/math-how-to-graph-a-line\/\"> <span class=\"screen-reader-text\">Math:  how to graph a line<\/span> Read More &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[100,101,102],"class_list":["post-3683","post","type-post","status-publish","format-standard","hentry","category-math","tag-graphing","tag-how-to-graph-a-line","tag-intercepts-method"],"_links":{"self":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts\/3683","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/comments?post=3683"}],"version-history":[{"count":14,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts\/3683\/revisions"}],"predecessor-version":[{"id":30187,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts\/3683\/revisions\/30187"}],"wp:attachment":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/media?parent=3683"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/categories?post=3683"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/tags?post=3683"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}