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Line has equation y = 17-4x and passes through point P which has coordinates (k-1, k + 1). (a) Find the value of k. Line ₂ is perpendicular to line 4₁ and crosses the y-axis at (0,7). (b) Write down the equation of line 1₂ in the form y = mx + c. (c) Lines ₁ and ₂ intersect at point Q. Find the coordinates of point Q. You must show your working.

Line has equation y = 17-4x and passes through point P which has coordinates (k-1, k + 1). (a) Find the value of k. Line ₂ is perpendicular to line 4₁ and crosses the y-axis at (0,7). (b) Write down the equation of line 1₂ in the form y = mx + c. (c) Lines ₁ and ₂ intersect at point Q. Find the coordinates of point Q. You must show your working.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Line has equation y = 17-4x and passes through point P which has coordinates (k-1, k+1). (a) Find the value of k. (b) Line 1₂ is perpendicular to line and crosses the y-axis at (0,¹7). Write down the equation of line 1₂ in the form y = mx + c. (c) Lines ₁ and 1₂ intersect at point Q. Find the coordinates of point Q. You must show your working.
Transcribed Image Text:Line has equation y = 17-4x and passes through point P which has coordinates (k-1, k+1). (a) Find the value of k. (b) Line 1₂ is perpendicular to line and crosses the y-axis at (0,¹7). Write down the equation of line 1₂ in the form y = mx + c. (c) Lines ₁ and 1₂ intersect at point Q. Find the coordinates of point Q. You must show your working.
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