Question

Find the slope of a line parallel to the line through the given points. P(-2, 4), Q(6, -2) 4/3 3/4 -3/4

Answer 1

Attached the solution and work.

Answer 2

Answer:

Option 3 - $m=-\frac{3}{4}$

Step-by-step explanation:

Given : P(-2, 4), Q(6, -2)

To find : The slope of a line parallel to the line through the given points?

Solution :

First we find the slope of the line passes through given points P(-2, 4), Q(6, -2)

The slope formula is

$m=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{-2-4}{6-(-2)}$

$m=\frac{-6}{8}$

$m=-\frac{3}{4}$

When two lines are parallel then there slope are equal.

Therefore, The slope of a line parallel to the line through the given points is

$m=-\frac{3}{4}$

So, Option 3 is correct.