{"id":7144,"date":"2014-12-17T19:46:08","date_gmt":"2014-12-17T19:46:08","guid":{"rendered":"http:\/\/www.oracletutoring.ca\/blog\/?p=7144"},"modified":"2018-02-15T18:33:24","modified_gmt":"2018-02-15T18:33:24","slug":"math-slope-point-form","status":"publish","type":"post","link":"https:\/\/www.oracletutoring.ca\/blog\/math-slope-point-form\/","title":{"rendered":"Math:  slope-point form"},"content":{"rendered":"<h1>Tutoring math 10, you cover slope-point form. \u00a0It&#8217;s usually the most convenient \u00a0way to find the equation of a line. \u00a0The tutor gives an example.<\/h1>\n<p>Slope-point form is probably much more popular among university students than at high school.  It&#8217;s a minimalistic way to arrive at the equation of a line.  Consider the following example:<\/p>\n<p><strong>Example 1:  Find the equation of the line passing through (-1,3) and (5,-2).<\/strong><\/p>\n<p>Solution:  First, draw a diagram.<\/p>\n<p><img decoding=\"async\" src=\"\/..\/ptslope0.png\" style=\"display:block;margin-left:auto;margin-right:auto\"\/><\/p>\n<p>To find the equation of a line, we always need the slope.  (See my article <a href=\"?p=3806\">here<\/a> for the method.)  In linear equations, the slope is often referred to as m.  We find it by using the formula<\/p>\n<p>slope=m=(y<sub>2<\/sub>-y<sub>1<\/sub>)\/(x<sub>2<\/sub>-x<sub>1<\/sub>)=(-2-3)\/(5-(-1))=-5\/6<\/p>\n<p>The slope is found to be -5\/6.  We are ready to apply the slope-point equation:<\/p>\n<p>y-y<sub>0<\/sub>=m(x-x<sub>0<\/sub>)<\/p>\n<p>We adopt a known point on the line as (x<sub>0<\/sub>,y<sub>0<\/sub>); it could be either one.  Let&#8217;s choose (-1,3).  Then, we sub in its values for (x<sub>0<\/sub>,y<sub>0<\/sub>) as well as -5\/6 in for m:<\/p>\n<p>y-3=(-5\/6)(x-(-1))<\/p>\n<p>We tidy up the signs, to arrive at<\/p>\n<p>y-3=(-5\/6)(x+1)<\/p>\n<p>There it is, our equation of the line passing through (-1,3) and (5,-2).<\/p>\n<p>The slope-point method is very handy for finding the equation of a line:)<\/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>Tutoring math 10, you cover slope-point form. \u00a0It&#8217;s usually the most convenient \u00a0way to find the equation of a line. \u00a0The tutor gives an example. Slope-point form is probably much more popular among university students than at high school. It&#8217;s &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"more-link\" href=\"https:\/\/www.oracletutoring.ca\/blog\/math-slope-point-form\/\"> <span class=\"screen-reader-text\">Math:  slope-point form<\/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":[364,363],"class_list":["post-7144","post","type-post","status-publish","format-standard","hentry","category-math","tag-equation-of-a-line","tag-slope-point-form"],"_links":{"self":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts\/7144","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=7144"}],"version-history":[{"count":21,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts\/7144\/revisions"}],"predecessor-version":[{"id":29837,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts\/7144\/revisions\/29837"}],"wp:attachment":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/media?parent=7144"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/categories?post=7144"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/tags?post=7144"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}