Two perpendicular lines, L1 and L2, intersect at point P, which has a y-coordinate of 4. The equation of the line L1 is 4.x – 2y + 5 = 0. (a) Find the x-coordinate of the point P. (b) Find the gradient of L1. (c) Find the equation of L2. Give your answer in the form ax + by +d = 0, where a, b and d are integers.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 43E
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Two perpendicular lines, L1 and L2, intersect at point P, which has a y-coordinate of 4.
The equation of the line L1 is 4x – 2y + 5 = 0.
(a) Find the x-coordinate of the point P.
(b) Find the gradient of L1.
(c) Find the equation of L2. Give your answer in the form ax + by +d= 0, where
a, b and d are integers.
Transcribed Image Text:Two perpendicular lines, L1 and L2, intersect at point P, which has a y-coordinate of 4. The equation of the line L1 is 4x – 2y + 5 = 0. (a) Find the x-coordinate of the point P. (b) Find the gradient of L1. (c) Find the equation of L2. Give your answer in the form ax + by +d= 0, where a, b and d are integers.
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the answer to Step 2 is very confusing.  Can you please elaborate how putting y=4 in the equation of line 1 gets the 4x-24+5=0.  Additionally, if 4x=3, my answer to x is that x=3/4 not 34. The answer of 34 must be missing the division sign.  This is not well done at all.  Can you please correct.

 

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