The coordinates of point P are (-4,6) and the coordinates of point Q are (5, 1). M is the midpoint of [PQ]. (a) Find the coordinates of M. L is the line which passes through P and Q. (b) Find the gradient of L1. A new line, L2, is perpendicular to L1 and passes through M. (c) (i) Write down the gradient of L2. (ii) Write down the equation of L2 in the form y = mx+ c.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 25E
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The coordinates of point P are (-4,6) and the coordinates of point Q are (5, 1). M is the
midpoint of [PQ].
(a) Find the coordinates of M.
L is the line which passes through P and Q.
(b) Find the gradient of L1.
A new line, L2, is perpendicular to L1 and passes through M.
(c)
(i) Write down the gradient of L2.
(ii) Write down the equation of L2 in the form y = mx + c.
Transcribed Image Text:The coordinates of point P are (-4,6) and the coordinates of point Q are (5, 1). M is the midpoint of [PQ]. (a) Find the coordinates of M. L is the line which passes through P and Q. (b) Find the gradient of L1. A new line, L2, is perpendicular to L1 and passes through M. (c) (i) Write down the gradient of L2. (ii) Write down the equation of L2 in the form y = mx + c.
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