{"id":25268,"date":"2023-04-20T18:42:52","date_gmt":"2023-04-20T17:42:52","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=25268"},"modified":"2023-05-05T15:01:44","modified_gmt":"2023-05-05T14:01:44","slug":"determina-a-expressao-algebrica-da-funcao-afim","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=25268","title":{"rendered":"Determina a express\u00e3o alg\u00e9brica da fun\u00e7\u00e3o afim"},"content":{"rendered":"\n<p><ul id='GTTabs_ul_25268' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_25268' class='GTTabs_curr'><a  id=\"25268_0\" onMouseOver=\"GTTabsShowLinks('Eunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Eunciado<\/a><\/li>\n<li id='GTTabs_li_1_25268' ><a  id=\"25268_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_25268'>\n<span class='GTTabs_titles'><b>Eunciado<\/b><\/span><\/p>\n<p>Determina a express\u00e3o alg\u00e9brica da fun\u00e7\u00e3o afim que corresponde a cada uma das seguintes representa\u00e7\u00f5es gr\u00e1ficas.<\/p>\n<table style=\"border-collapse: collapse; width: 100%;\">\n<tbody>\n<tr>\n<td style=\"width: 3.125%; vertical-align: top;\">a)<\/td>\n<td style=\"width: 96.7448%; text-align: left;\"><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag176-8a.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"25269\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=25269\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag176-8a.png\" data-orig-size=\"270,170\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"8_Pag176-8a\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag176-8a.png\" class=\"alignnone wp-image-25269\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag176-8a.png\" alt=\"\" width=\"223\" height=\"140\" \/><\/a><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 3.125%; vertical-align: top;\">b)<\/td>\n<td style=\"width: 96.7448%; text-align: left;\"><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag176-8b.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"25270\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=25270\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag176-8b.png\" data-orig-size=\"417,170\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"8_Pag176-8b\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag176-8b.png\" class=\"alignnone wp-image-25270\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag176-8b.png\" alt=\"\" width=\"343\" height=\"140\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag176-8b.png 417w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag176-8b-300x122.png 300w\" sizes=\"auto, (max-width: 343px) 100vw, 343px\" \/><\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_25268' onClick='GTTabs_show(1,25268)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_25268'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<blockquote>\n<p>Determina a express\u00e3o alg\u00e9brica da fun\u00e7\u00e3o afim que corresponde a cada uma das seguintes representa\u00e7\u00f5es gr\u00e1ficas.<\/p>\n<\/blockquote>\n<table style=\"border-collapse: collapse; width: 100%;\">\n<tbody>\n<tr>\n<td style=\"width: 3.125%; vertical-align: top;\">a)<\/td>\n<td style=\"width: 48.3724%; text-align: left;\"><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag176-8a.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"25269\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=25269\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag176-8a.png\" data-orig-size=\"270,170\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"8_Pag176-8a\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag176-8a.png\" class=\"alignnone wp-image-25269\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag176-8a.png\" alt=\"\" width=\"223\" height=\"140\" \/><\/a><\/td>\n<td style=\"width: 48.3724%; text-align: left; vertical-align: top;\">\n<p>Os pontos de interse\u00e7\u00e3o da reta com os eixos coordenados s\u00e3o \\(A\\left( {0,3} \\right)\\) e \\(B\\left( {5,0} \\right)\\). Assim, o declive da reta \u00e9 \\(a = \\frac{{3 &#8211; 0}}{{0 &#8211; 5}} = &#8211; \\frac{3}{5}\\) e a ordenada na origem \u00e9 \\(b = 3\\).<\/p>\n<p>Logo, \\(p\\left( x \\right) = &#8211; \\frac{3}{5}x + 3\\).<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 3.125%; vertical-align: top;\">b)<\/td>\n<td style=\"width: 48.3724%; text-align: left;\"><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag176-8b.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"25270\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=25270\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag176-8b.png\" data-orig-size=\"417,170\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"8_Pag176-8b\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag176-8b.png\" class=\"alignnone wp-image-25270\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag176-8b.png\" alt=\"\" width=\"343\" height=\"140\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag176-8b.png 417w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag176-8b-300x122.png 300w\" sizes=\"auto, (max-width: 343px) 100vw, 343px\" \/><\/a><\/td>\n<td style=\"width: 48.3724%; text-align: left; vertical-align: top;\">\n<p>Os pontos de interse\u00e7\u00e3o da reta com os eixos coordenados s\u00e3o \\(C\\left( {0,15} \\right)\\) e \\(D\\left( {45,0} \\right)\\). Assim, o declive da reta \u00e9 \\(a = \\frac{{15 &#8211; 0}}{{0 &#8211; 45}} = &#8211; \\frac{1}{3}\\) e a ordenada na origem \u00e9 \\(b = 15\\).<\/p>\n<p>Logo, \\(q\\left( x \\right) = &#8211; \\frac{1}{3}x + 15\\).<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u00a0<\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_25268' onClick='GTTabs_show(0,25268)'>&lt;&lt; Eunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Eunciado Resolu\u00e7\u00e3o Eunciado Determina a express\u00e3o alg\u00e9brica da fun\u00e7\u00e3o afim que corresponde a cada uma das seguintes representa\u00e7\u00f5es gr\u00e1ficas. a) b) Resolu\u00e7\u00e3o &gt;&gt; Resolu\u00e7\u00e3o &lt;&lt; Eunciado<\/p>\n","protected":false},"author":1,"featured_media":25271,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,709],"tags":[424,345,344],"series":[],"class_list":["post-25268","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-8--ano","category-aplicando","category-graficos-de-funcoes-afins","tag-8-o-ano","tag-funcao-afim","tag-grafico"],"views":156,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag176-8b_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/25268","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=25268"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/25268\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/25271"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=25268"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=25268"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=25268"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=25268"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}