{"id":82,"date":"2022-04-13T09:55:46","date_gmt":"2022-04-13T09:55:46","guid":{"rendered":"http:\/\/10thclass.deltapublications.in\/?page_id=82"},"modified":"2025-03-05T07:20:44","modified_gmt":"2025-03-05T07:20:44","slug":"d-14-standard-form-find-x-and-y-intercepts","status":"publish","type":"page","link":"https:\/\/10thclass.deltapublications.in\/index.php\/d-14-standard-form-find-x-and-y-intercepts\/","title":{"rendered":"D.14 Standard form: find x- and y-intercepts"},"content":{"rendered":"\n

Standard form: find x- and y-intercepts<\/strong><\/h2>\n\n\n\n

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

The x<\/em>-intercept is the x<\/em>-coordinate of the point where the graph crosses the x<\/em>-axis. <\/p>\n\n\n\n

If a line crosses the x<\/em>-axis at the point (x<\/em>, 0), then x<\/em> is the x<\/em>-intercept.<\/p>\n\n\n\n

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The y<\/em>-intercept is the y<\/em>-coordinate of the point where the graph crosses the y<\/em>-axis. <\/p>\n\n\n\n

If a line crosses the y<\/em>-axis at the point (0, y<\/em>), then y<\/em> is the y<\/em>-intercept.<\/p>\n\n\n\n

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

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Find the y<\/em>-intercept of the following equation. Simplify your answer.<\/p>\n\n\n\n

2x<\/em> + 3y<\/em> = 6<\/p>\n\n\n\n

y<\/em>-intercept = ____<\/p>\n<\/div><\/div>\n\n\n\n

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

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

2(0) + 3y = 6 Plugin x= 0<\/p>\n\n\n\n

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

y = 2 Divide both sides by 3<\/p>\n\n\n\n

The y-intercept is 2.<\/p>\n<\/div><\/div>\n\n\n\n

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Find the x<\/em>-intercept of the following equation. Simplify your answer.<\/p>\n\n\n\n

8x<\/em> + 7y<\/em> = 8<\/p>\n\n\n\n

x<\/em>-intercept = ____<\/p>\n<\/div><\/div>\n\n\n\n

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

8x + 7y = 8<\/p>\n\n\n\n

8x + 7(0) = 8 Plugin y= 0<\/p>\n\n\n\n

8x = 8 Simplify <\/p>\n\n\n\n

x = 1 Divide both sides by 8<\/p>\n\n\n\n

The x-intercept is 1.<\/p>\n<\/div><\/div>\n\n\n\n

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Find the y-intercept of the following equation. Simplify your answer.<\/p>\n\n\n\n

6x + y = 5<\/p>\n\n\n\n

y-intercept =<\/p>\n<\/div><\/div>\n\n\n\n

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

6x + y = 5<\/p>\n\n\n\n

6(0) + y = 5 Plugin x= 0<\/p>\n\n\n\n

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

They-interceptis5.<\/p>\n<\/div><\/div>\n<\/div><\/div>\n\n\n\n

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