{"id":69,"date":"2022-04-13T09:54:08","date_gmt":"2022-04-13T09:54:08","guid":{"rendered":"http:\/\/10thclass.deltapublications.in\/?page_id=69"},"modified":"2025-03-05T07:06:05","modified_gmt":"2025-03-05T07:06:05","slug":"d-8-slope-intercept-form-write-an-equation","status":"publish","type":"page","link":"https:\/\/10thclass.deltapublications.in\/index.php\/d-8-slope-intercept-form-write-an-equation\/","title":{"rendered":"D.8 Slope-intercept form: write an equation"},"content":{"rendered":"\n

Slope-intercept form: write an equation<\/strong><\/h2>\n\n\n\n

Key Notes:<\/p>\n\n\n\n

The slope-intercept form<\/strong> of a linear equation is<\/p>\n\n\n\n

y<\/em> = mx<\/em> + b<\/p>\n\n\n\n

where m<\/em> is the slope and b<\/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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A line’s y-intercept is 16, and its slope is 8. What is its equation in slope-intercept form?<\/strong><\/p>\n\n\n\n

Plug the slope m = 8 and the y-intercept b = 16 into the slope-intercept formula.
y = mx + b<\/p>\n\n\n\n

y = 8x + 16<\/p>\n\n\n\n

y = 8x \u2212 16<\/p>\n\n\n\n

The equation of the line in slope-intercept form is y = 8x \u2212 16.<\/p>\n<\/div><\/div>\n\n\n\n

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A line’s slope is 1, and its y-intercept is 19. What is its equation in slope-intercept form?<\/strong><\/p>\n\n\n\n

Plug the slope m = 1 and the y-intercept b = 19 into the slope-intercept formula.
y = mx + b<\/p>\n\n\n\n

y = 1x + 19<\/p>\n\n\n\n

y = x + 19<\/p>\n\n\n\n

The equation of the line in slope-intercept form is y = x + 19.<\/p>\n<\/div><\/div>\n\n\n\n

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There is a line whose y-intercept is 20 and whose slope is 1. What is its equation in slope-intercept form?<\/strong><\/p>\n\n\n\n

Plug the slope m = 1 and the y-intercept b = 20 into the slope-intercept formula.<\/p>\n\n\n\n

y = mx + b<\/p>\n\n\n\n

y = 1x + 20<\/p>\n\n\n\n

y = x + 20<\/p>\n\n\n\n

y = x \u2212 20<\/p>\n\n\n\n

The equation of the line in slope-intercept form is y = x \u2212 20.<\/p>\n<\/div><\/div>\n\n\n\n

Let’s Practice!<\/p>\n<\/div><\/div>\n\n\n\n

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Slope-intercept form: write an equation Key Notes: The slope-intercept form of a linear equation is y = mx + b where m is the slope and b is the y-intercept. Learn with an example A line’s y-intercept is 16, and its slope is 8. What is its equation in slope-intercept form? Plug the slope m = 8 and the y-intercept b = 16 into theContinue reading “D.8 Slope-intercept form: write 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-69","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/69","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=69"}],"version-history":[{"count":15,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/69\/revisions"}],"predecessor-version":[{"id":17588,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/69\/revisions\/17588"}],"wp:attachment":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=69"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}