The equation of a line L1 is 2x + 3y = -5. (a) Find the gradient of L1. A second line, L2, is perpendicular to L1. (b) Find the gradient of L2. The point P(4, 0) lies on L2. (c) Find the equation of L2, giving your answer in the form ax+by+d = 0, where a, b, d Z.

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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The equation of a line L1 is 2x + 3y = -5.
%3D
(a) Find the gradient of L1.
A second line, L2, is perpendicular to L1.
(b) Find the gradient of L2.
The point P(4, 0) lies on L2.
(c)
Find the equation of L2, giving your answer in the form ax+by+d = 0, where a, b, d Z.
%3D
The point Q is the intersection of L1 and L2.
(d) Find the coordinates of Q.
O Focus
E E E - -
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Transcribed Image Text:Word File Edit View Insert Format Tools Table Window Help * ellie Tue 1 Mar 23.53 AutoSave O OFF C A P R A RV Set 3 Paper 1- Saved to my Mac .... Home Insert Draw Design Layout References Mailings View O Tell me Review 2 Share O Comments Calibri (Bo. v 11 • A A Aa v A AaBbCcD AaBbCcDdE AaBb, AaBbCcDdEe AaBbCcodEe Paste BIUV ab x, x 2- A v 1三 田 Normal No Spacing Heading 1 Heading 2 Title Styles Pane Åbn Fejlretter Dictate Editor The equation of a line L1 is 2x + 3y = -5. %3D (a) Find the gradient of L1. A second line, L2, is perpendicular to L1. (b) Find the gradient of L2. The point P(4, 0) lies on L2. (c) Find the equation of L2, giving your answer in the form ax+by+d = 0, where a, b, d Z. %3D The point Q is the intersection of L1 and L2. (d) Find the coordinates of Q. O Focus E E E - - 305% Page 5 of 8 13 words Danish
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