{"id":94,"date":"2022-04-13T09:58:00","date_gmt":"2022-04-13T09:58:00","guid":{"rendered":"http:\/\/10thclass.deltapublications.in\/?page_id=94"},"modified":"2025-03-05T07:27:51","modified_gmt":"2025-03-05T07:27:51","slug":"d-20-find-the-distance-between-a-point-and-a-line","status":"publish","type":"page","link":"https:\/\/10thclass.deltapublications.in\/index.php\/d-20-find-the-distance-between-a-point-and-a-line\/","title":{"rendered":"D.20 Find the distance between a point and a line"},"content":{"rendered":"\n

Find the distance between a point and a line<\/strong><\/h2>\n\n\n\n

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

The distance between a point and a line is the length of the segment perpendicular to the line from the point.<\/p>\n\n\n\n

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

\n
\n

Line \u2113 has equation y=7.<\/p>\n\n\n\n

 Find the distance between \u2113 and the point R(1,\u20133).<\/p>\n<\/div><\/div>\n\n\n\n

\n

The line \u2113 is a horizontal line with a y-intercept of 7. The point R has an x-coordinate of 1 and a y-coordinate of \u20133.<\/p>\n\n\n

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

Look for the point on \u2113 that is directly above R. This point is S(1,7).<\/p>\n\n\n

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

The segment perpendicular to \u2113 from R is the vertical segment between S and R, which is RS.<\/p>\n\n\n

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

To find the distance between \u2113 and R, find the length of RS. The length is the absolute value of the difference in y-coordinates of S and R, which is  |7\u2013 \u20133|=10. <\/p>\n\n\n\n

So, the distance between \u2113 and R is 10.<\/p>\n<\/div><\/div>\n<\/div><\/div>\n\n\n\n

\n
\n

Line \u2113 has equation y=5.<\/p>\n\n\n\n

Find the distance between \u2113 and the point D(\u20135,\u20137).<\/p>\n\n\n\n

Round your answer to the nearest tenth.<\/p>\n<\/div><\/div>\n\n\n\n

The line \u2113 is a horizontal line with a y-intercept of 5. The point D has an x-coordinate of\u20135 and a y-coordinate of \u20137.<\/p>\n\n\n

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

Look for the point on \u2113 that is directly above D. This point is E(\u20135,5).<\/p>\n\n\n

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

The segment perpendicular to \u2113 from D is the vertical segment between E and D, which is DE.<\/p>\n\n\n

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

To find the distance between \u2113 and D, find the length of DE. The length is the absolute value of the difference in y coordinates of E and D, which is |5 \u2013 -7|=12. so the distance<\/p>\n<\/div><\/div>\n\n\n\n

let’s practice:<\/p>\n\n\n\n

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

Find the distance between a point and a line key notes: The distance between a point and a line is the length of the segment perpendicular to the line from the point. Learn with an example Line \u2113 has equation y=7.  Find the distance between \u2113 and the point R(1,\u20133). The line \u2113 is a horizontal line with a y-intercept of 7. The point R has an x-coordinate of 1 andContinue reading “D.20 Find the distance between a point and a line”<\/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-94","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/94","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=94"}],"version-history":[{"count":21,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/94\/revisions"}],"predecessor-version":[{"id":17601,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/94\/revisions\/17601"}],"wp:attachment":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=94"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}