Question

select the correct answer. which two points have an undefined slope? a. (-1,1) and (1,-1) b. (-2,2) and (2,2) c. (-3,-3) and (-3,3) d. (-4,-4) and (4,4)

Explanation:

Step1: Recall slope formula

The slope formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2 - y_1}{x_2 - x_1}$. The slope is undefined when $x_2 - x_1=0$, i.e., $x_1=x_2$.

Step2: Check each option

Option A

For points $(-1,1)$ and $(1, - 1)$, $x_1=-1$ and $x_2 = 1$, $x_2 - x_1=1-(-1)=2
eq0$.

Option B

For points $(-2,2)$ and $(2,2)$, $x_1=-2$ and $x_2 = 2$, $x_2 - x_1=2-(-2)=4
eq0$.

Option C

For points $(-3,-3)$ and $(-3,3)$, $x_1=-3$ and $x_2=-3$, $x_2 - x_1=-3-(-3)=0$.

Option D

For points $(-4,-4)$ and $(4,4)$, $x_1=-4$ and $x_2 = 4$, $x_2 - x_1=4-(-4)=8
eq0$.

Answer:

C. $(-3,-3)$ and $(-3,3)$