Question

Find the slope of the line passing through the pair of points: (-6,-1), (-6,4)

Answer 1

The formula of a slope:

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

We have the points (-6, -1) and (-6, 4).

Substitute:

$m=\dfrac{4-(-1)}{-6-(-6)}=\dfrac{4+1}{-6+6}=\dfrac{5}{6}\ !!!$

Dividing by 0 is not possible, therefore the slope is undefined.

It's a vertical line x = -6.