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pychu [463]
3 years ago
13

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

Mathematics
2 answers:
ehidna [41]3 years ago
6 0
Attached the solution and work.

zavuch27 [327]3 years ago
4 0

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.

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