{"id":7099,"date":"2011-10-23T17:58:05","date_gmt":"2011-10-23T16:58:05","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=7099"},"modified":"2022-01-15T02:59:53","modified_gmt":"2022-01-15T02:59:53","slug":"tracar-uma-recta","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=7099","title":{"rendered":"Tra\u00e7ar uma reta"},"content":{"rendered":"<p><ul id='GTTabs_ul_7099' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_7099' class='GTTabs_curr'><a  id=\"7099_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_7099' ><a  id=\"7099_1\" onMouseOver=\"GTTabsShowLinks('Resolu\u00e7\u00e3o'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Resolu\u00e7\u00e3o<\/a><\/li>\n<\/ul>\n\n<div class='GTTabs_divs GTTabs_curr_div' id='GTTabs_0_7099'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Lembra-te que para tra\u00e7armos uma reta bastam dois pontos. Portanto, para construirmos a reta de uma equa\u00e7\u00e3o do 1.\u00ba grau com duas inc\u00f3gnitas \u00e9 suficiente encontrarmos dois pontos do gr\u00e1fico e, com uma r\u00e9gua, tra\u00e7ar a reta que passa por esses dois pontos.<\/p>\n<table style=\"width: 25%;\" border=\"1\" align=\"right\">\n<tbody>\n<tr>\n<td style=\"text-align: center; background-color: #f45e3d;\">$x$<\/td>\n<td style=\"text-align: center; background-color: #f45e3d;\">$y$<\/td>\n<td style=\"text-align: center; background-color: #f45e3d;\">$(x,y)$<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">$5$<\/td>\n<td style=\"text-align: center;\"><\/td>\n<td style=\"text-align: center;\"><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><\/td>\n<td style=\"text-align: center;\">$-2$<\/td>\n<td style=\"text-align: center;\"><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Considera a equa\u00e7\u00e3o $x-y=4$.<\/p>\n<ol>\n<li>Copia e completa a tabela.<\/li>\n<li>Representa num referencial cartesiano a reta da equa\u00e7\u00e3o dada.<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_7099' onClick='GTTabs_show(1,7099)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_7099'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<ol>\n<li>\n<table style=\"width: 25%;\" border=\"1\" align=\"right\">\n<tbody>\n<tr>\n<td style=\"text-align: center; background-color: #f45e3d;\">$x$<\/td>\n<td style=\"text-align: center; background-color: #f45e3d;\">$y$<\/td>\n<td style=\"text-align: center; background-color: #f45e3d;\">$(x,y)$<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">$5$<\/td>\n<td style=\"text-align: center;\">\u00a0$1$<\/td>\n<td style=\"text-align: center;\">\u00a0$A (5,1)$<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">\u00a0$2$<\/td>\n<td style=\"text-align: center;\">$-2$<\/td>\n<td style=\"text-align: center;\">\u00a0$B (2,-2)$<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Resolvendo a equa\u00e7\u00e3o em ordem a y, temos: $x-y=4\\Leftrightarrow y=x-4$.<\/p>\n<p>Para $x=5$, vem $y=5-4=1$.<\/p>\n<p>Para $y=-2$, vem $x-(-2)=4\\Leftrightarrow x=2$.<br \/>\n\u00ad<\/p>\n<\/li>\n<li>A reta encontra-se representada no referencial cartesiano abaixo.<\/li>\n<\/ol>\n<p style=\"text-align: center;\">\u00a0<script src=\"https:\/\/cdn.geogebra.org\/apps\/deployggb.js\"><\/script>\r\n<div id=\"ggbApplet\" style=\"margin: 0 auto;\"><\/div>\r\n<script>\r\nvar parameters = {\r\n\"id\": \"ggbApplet\",\r\n\"width\":732,\r\n\"height\":505,\r\n\"showMenuBar\":false,\r\n\"showAlgebraInput\":false,\r\n\"showToolBar\":false,\r\n\"customToolBar\":\"0 39 | 1 501 67 , 5 19 , 72 | 2 15 45 , 18 65 , 7 37 | 4 3 8 9 , 13 44 , 58 , 47 | 16 51 64 , 70 | 10 34 53 11 , 24  20 22 , 21 23 | 55 56 57 , 12 | 36 46 , 38 49  50 , 71 | 30 29 54 32 31 33 | 17 26 62 73 , 14 68 | 25 52 60 61 | 40 41 42 , 27 28 35 , 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Portanto, para construirmos a reta de uma equa\u00e7\u00e3o do 1.\u00ba grau com duas inc\u00f3gnitas \u00e9 suficiente encontrarmos dois pontos do gr\u00e1fico e,&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":14081,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[213,97,240],"tags":[160,242,241],"series":[],"class_list":["post-7099","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-9--ano","category-aplicando","category-sistemas-de-equacoes","tag-equacao","tag-referencial-cartesiano","tag-reta"],"views":2018,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/Mat26.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/7099","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=7099"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/7099\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/14081"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=7099"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=7099"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=7099"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=7099"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}