Question

question 17 of 25

which two points lie on a line with an undefined slope?

a. (0,0) and (2,2)
b. (-2,0) and (-2,5)
c. (3,0) and (2,0)
d. (-2,0) and (0,-2)

Explanation:

Identify the condition for an undefined slope

$$ m = \frac{y_2 - y_1}{x_2 - x_1} \implies x_2 - x_1 = 0 \implies x_1 = x_2 $$

Evaluate the given coordinate pairs

$$
LATEXBLOCK0
$$

Calculate the slope for the matching pair

$$ m = \frac{5 - 0}{-2 - (-2)} = \frac{5}{0} \quad (\text{undefined}) $$

Answer:

• A. (0,0) and (2,2)
• B. (-2,0) and (-2,5) (Correct answer)
• C. (3,0) and (2,0)
• D. (-2,0) and (0,-2)