Question

Find the slope of the line passing through each of the following pairs of points. b (−3, 9), (−3, −5)

Answer 1

Hi there! :)

Explanation:

`SLOPE=(Y_2-Y_1)/(X_2-X_1)=(RISE)/(RUN)`

`((-5)-9)/((-3)-(-3))=(-5-9)/(-3+3)=(-14)/(0)=0`

Undefined.

Slope is 0.

Final answer is 0.

Hope this helps!

Answer 2

The formula of a slope:

`m=(y_2-y_1)/(x_2-x_1)`

We have:

`(-3,\ 9)\to x_1=-3,\ y_1=9\\(-3,\ -5)\to x_2=-3,\ y_2=9`

Substitute:

`m=(-5-9)/(-3-(-3))=(-14)/(-3+3)=(-14)/(0)\ \ \ \boxed{!!!!!}`

Answer: The slope is indefinite