Question

What is the slope of the line that passes through the points

(
9
,
4
)
(9,4) and
(
9
,
−
5
)
?
(9,−5)? Write your answer in simplest form.

Answer 1

We are given:

The line passes through the points (9,4) and (9,-5)

We know that:

Slope of a line = (change in y) / (change in x)

Finding the slope:

Change in x = final x - initial x

Change in x = 9 - 9 = 0

Slope of line = (change in y) / 0

because division by 0 is undefined:

Slope of the line is Undefined

We could've solved for the change in y but there's no reason to because no matter what's in the numerator, as long as the denominator is 0, the value is undefined