# Which expression can be used to find the slope of a line containing the points (–3, 2) and (7, –1)?

Which expression can be used to find the slope of a line containing the points (–3, 2) and (7, –1)?

(−3,2)

and

(7,−1)

The Slope is equal to the change in

y

over the change in

x

, or rise over run.

m

=

change in y

change in x

The change in

x

is equal to the difference in x-coordinates (also called run), and the change in

y

is equal to the difference in y-coordinates (also called rise).

m=y2−
y1x2−x1

Substitute in the values of :

x and y

into the equation to find the slope :

m=− 1−(2)7−(−3)

Simplify.

Simplify the numerator.

Multiply :

−1 by 2.m= −1−27−(−3)

Subtract

2

from
−1.m= −37−(−3)

Simplify the denominator.

Multiply

−1 by −3.m= −37+3

7

and
3.m= −310

Move the negative in front of the fraction.

m= −310

So once again you anwser is to :

Use the slope formula to find the slope
m.m
= −310

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