Question

Which equation represents a line with an undefined slope going through (3,-2)?

A) y = 3
B) x = -2
C) y = -2
D) x = 3

Answer 1

The equation that represents a line with an undefined slope going through (3,-2) is d) x = 3.

Step-by-step explanation:

The equation that represents a line with an undefined slope going through (3,-2) is x = 3.

An undefined slope means that the line is vertical, which means it doesn't have a slope. In this case, since the x-coordinate is fixed at 3, the line will be vertical and pass through all points with x = 3, including the point (3,-2).

The options given are:

• A) y = 3 - This equation represents a horizontal line passing through y = 3.
• B) x = -2 - This equation represents a vertical line passing through x = -2.
• C) y = -2 - This equation represents a horizontal line passing through y = -2.
• D) x = 3 - This equation represents a vertical line passing through x = 3.

Therefore, the correct answer is D) x = 3.