Question

Find the slope of the line that passes through the following points. Write "undefined" if there is no slope. (-8, -3) (-8, -2) Write your answer as a fraction if needed.​

Answer 1

Answer:
Undefined
Step-by-step explanation:
Slope can be found by using the formula (y2 - y1) / (x2 - x1). In this case, -2 is y2, -3 is y1, and both x2 and x1 are equal to -8. (-2 - -3) / (-8 - -8) = 1/0. Since the denominator is 0, this slope is a vertical line, which is undefined.

Answer 2

Answer:

undefined

Step-by-step explanation:

Given points:  (-8, -3) and (-8, -2)

As the x-value of both points is the same, there is no slope.

Therefore, the line that passes through the two given points is a vertical line at $x=-8$

Proof

$\textsf{let}\:(x_1,y_1)=(-8,-3)$

$\textsf{let}\:(x_2,y_2)=(-8,-2)$

$\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-2-(-3)}{-8-(-8)}=\dfrac{1}{0}$

Any number divided by zero is undefined.