{"id":84,"date":"2022-04-13T09:56:02","date_gmt":"2022-04-13T09:56:02","guid":{"rendered":"http:\/\/10thclass.deltapublications.in\/?page_id=84"},"modified":"2025-03-05T07:24:34","modified_gmt":"2025-03-05T07:24:34","slug":"d-15-standard-form-graph-an-equation","status":"publish","type":"page","link":"https:\/\/10thclass.deltapublications.in\/index.php\/d-15-standard-form-graph-an-equation\/","title":{"rendered":"D.15 Standard form: graph an equation"},"content":{"rendered":"\n

Standard form: graph an equation<\/strong><\/h2>\n\n\n\n

key notes:<\/p>\n\n\n\n

The x-intercept is the x-coordinate of the point where the graph crosses the x-axis. The coordinates of the x-intercept are (x,0), where x is the x-intercept.<\/p>\n\n\n\n

The y-intercept is the y-coordinate of the point where the graph crosses the y-axis. The coordinates of the y-intercept are (0,y), where y is the y-intercept.<\/p>\n\n\n\n

Learn with an example<\/strong><\/p>\n\n\n\n

\n
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Graph this line using intercepts: <\/strong><\/p>\n\n\n\n

2x+3y = 6<\/strong><\/p>\n<\/div><\/div>\n\n\n\n

Step 1: Find the <\/strong>x-intercept.<\/p>\n\n\n\n

The x-intercept is on the x-axis, where y=0. Plug y=0 into the equation and solve for the x-intercept x.<\/p>\n\n\n\n

2x+3y=6<\/p>\n\n\n\n

2x+3(0)=6 Plugin y=0<\/p>\n\n\n\n

2x=6 <\/p>\n\n\n\n

x=3<\/p>\n\n\n\n

The x-intercept is 3. Its coordinates are (3,0).<\/p>\n\n\n\n

Step 2: Find the <\/strong>y-intercept.<\/p>\n\n\n\n

The y-intercept is on the y-axis, where x=0. Plug x=0 into the equation and solve for the y-intercept y.<\/p>\n\n\n\n

2x+3y=6<\/p>\n\n\n\n

2(0)+3y=6 Plug in x=0<\/p>\n\n\n\n

3y=6<\/p>\n\n\n\n

y=2<\/p>\n\n\n\n

The y-intercept is 2. Its coordinates are (0,2).<\/p>\n\n\n\n

Step 3: Use the intercepts to graph.<\/strong><\/p>\n\n\n\n

Plot the x-intercept (3,0) and the y-intercept (0,2). The graph is the straight line connecting them.<\/p>\n\n\n

\n
\"\"<\/figure><\/div><\/div><\/div>\n\n\n\n
\n
\n

Graph this line using intercepts:
8x\u20137y=56<\/p>\n\n\n\n


Click to select points on the graph.<\/p>\n\n\n

\n
\"\"<\/figure><\/div><\/div><\/div>\n\n\n\n

Step 1: Find the x-intercept.<\/strong>
The x-intercept is on the x-axis, where y=0. Plug y=0 into the equation and solve for the x-intercept x.
8x\u20137y= 56
8x\u20137(0) = 56 Plug in y=0
8x = 56 Simplify
x= 7 Divide both sides by 8
The x-intercept is 7. Its coordinates are (7,0).
Step 2: Find the y-intercept.<\/strong>
The y-intercept is on the y-axis, where x=0. Plug x=0 into the equation and solve for the y-intercept y.
8x\u20137y = 56
8(0)\u20137y = 56 Plugin x=0
\u20137y = 56 Simplify<\/p>\n\n\n\n

y\u20138 Divide both sides by \u20137 <\/p>\n\n\n\n

The y-intercept is\u20138 Its coordinates are (0,\u20138).
Step 3: Use the intercepts to graph.<\/strong>
Plot the x-intercept (7,0) and the y-intercept (0, \u20138). The graph is the straight line connecting them.<\/p>\n\n\n

\n
\"\"<\/figure><\/div><\/div><\/div>\n\n\n\n
\n
\n

Graph this line using intercepts:
2x+5y=\u201310<\/p>\n\n\n\n


Click to select points on the graph.<\/p>\n\n\n

\n
\"\"<\/figure><\/div><\/div><\/div>\n\n\n\n

Step 1: Find the x-intercept.<\/strong>
The x-intercept is on the x-axis, where y=0. Plug y=0 into the equation and solve for the x-intercept x.<\/p>\n\n\n\n

2x+5y=\u201310<\/p>\n\n\n\n

2x+5(0)=\u201310 Plugin y=0<\/p>\n\n\n\n

2x\u201310 Simplify<\/p>\n\n\n\n

x\u20135 Divide both sides by 2<\/p>\n\n\n\n

The x-intercept is \u20135. Its coordinates are (\u20135,0).<\/p>\n\n\n\n

Step 2: Find the y-intercept.<\/strong>
The y-intercept is on the y-axis, where x=0. Plug x=0 into the equation and solve for the y-intercept y.<\/p>\n\n\n\n

2x+5y=\u201310<\/p>\n\n\n\n

2(0)+5y=\u201310 Plugin x=0<\/p>\n\n\n\n

5y\u201310 Simplify<\/p>\n\n\n\n

y\u20132 Divide both sides by 5<\/p>\n\n\n\n

The y-intercept is\u20132 Its coordinates are (0,\u20132).<\/p>\n\n\n\n

Step 3: Use the intercepts to graph<\/strong>.
Plot the x-intercept (\u20135,0) and the y-intercept (0,\u20132). The graph is the straight line connecting them.<\/p>\n\n\n

\n
\"\"<\/figure><\/div><\/div><\/div>\n\n\n\n

Let’s Practice!<\/p>\n\n\n\n

\n
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\"\"<\/a><\/figure>\n<\/div>\n\n\n\n
\n
\"\"<\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

Standard form: graph an equation key notes: The x-intercept is the x-coordinate of the point where the graph crosses the x-axis. The coordinates of the x-intercept are (x,0), where x is the x-intercept. The y-intercept is the y-coordinate of the point where the graph crosses the y-axis. The coordinates of the y-intercept are (0,y), where y is the y-intercept. Learn with an example Graph this line using intercepts: 2x+3y = 6 Step 1: Find the x-intercept. The x-intercept is on the x-axis, where y=0. Plug y=0 into the equation and solve for the x-intercept x.Continue reading “D.15 Standard form: graph an equation”<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-84","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/84","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=84"}],"version-history":[{"count":15,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/84\/revisions"}],"predecessor-version":[{"id":17596,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/84\/revisions\/17596"}],"wp:attachment":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=84"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}