{"id":264,"date":"2022-08-30T14:58:27","date_gmt":"2022-08-30T14:58:27","guid":{"rendered":"https:\/\/unknownerror.org\/index.php\/2013\/08\/31\/if-the-line-tangent-to-the-graph-of-the-function-f-at-point-17-passes-through-the-point-2-2-record-and-share-programming-errors\/"},"modified":"2022-08-30T14:58:27","modified_gmt":"2022-08-30T14:58:27","slug":"if-the-line-tangent-to-the-graph-of-the-function-f-at-point-17-passes-through-the-point-2-2-record-and-share-programming-errors","status":"publish","type":"post","link":"https:\/\/unknownerror.org\/index.php\/2022\/08\/30\/if-the-line-tangent-to-the-graph-of-the-function-f-at-point-17-passes-through-the-point-2-2-record-and-share-programming-errors\/","title":{"rendered":"If the line tangent to the graph of the function f at point (1,7) passes through the point (-2,-2)?-Record and share programming errors"},"content":{"rendered":"<ul>\n<li>Since line through points (1,7) and (\u22122,\u22122) is tangent to graph of f at point (1,7) f'(1) = slope from point (1,7) to point (\u22122,\u22122) f'(1) = (7+2)\/(1+2) = 3\n<p>Answer: C)<\/p>\n<\/li>\n<li>The tangent line goes through (1,7) and (-2,-2) Lets call the line y = mx + c, and substitute in these known values 7 = m*1 + c -2 = m* (-2) + c Subtract second eqn from first 9 = 3m m=3 So the slope of the tangent is 3.\n<p>Answer C)<\/p>\n<\/li>\n<\/ul>\n<p id=\"rop\"><small>Originally posted 2013-08-31 07:31:19. <\/small><\/p>","protected":false},"excerpt":{"rendered":"<p>Since line through points (1,7) and (\u22122,\u22122) is tangent to graph of f at point (1,7) f'(1) = slope from point (1,7) to point (\u22122,\u22122) f'(1) = (7+2)\/(1+2) = 3 Answer: C) The tangent line goes through (1,7) and (-2,-2) Lets call the line y = mx + c, and substitute in these known values [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-264","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/unknownerror.org\/index.php\/wp-json\/wp\/v2\/posts\/264","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/unknownerror.org\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/unknownerror.org\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/unknownerror.org\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/unknownerror.org\/index.php\/wp-json\/wp\/v2\/comments?post=264"}],"version-history":[{"count":0,"href":"https:\/\/unknownerror.org\/index.php\/wp-json\/wp\/v2\/posts\/264\/revisions"}],"wp:attachment":[{"href":"https:\/\/unknownerror.org\/index.php\/wp-json\/wp\/v2\/media?parent=264"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/unknownerror.org\/index.php\/wp-json\/wp\/v2\/categories?post=264"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/unknownerror.org\/index.php\/wp-json\/wp\/v2\/tags?post=264"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}