Question

(-15,-6), (8,3) Find the slope of the line through each pair of points?

Answer 1

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 = y^2 - y^1 / x^2 x^1

Substitute in the values of

x

and

y

into the equation to find the slope.

m

=

3

−

(

−

6

)

8

−

(

−

15

)

Simplify.

Simplify the numerator.

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m

=

9

8

−

(

−

15

)

Simplify the denominator.

Multiply

−

1

by

−

15

.

m

=

9

8

+

15

Add

8

and

15

.

m

=

9/23

Answer 2

Answer:

Step-by-step explanation:

Δy = -6 - 3 = -9

Δx = -15 - 8 = -23

slope = Δy/Δx = 9/23