A line with an undefined slope passes through the points (-2,1) and (p, q).

Which of the following points could be (p, q)?

A. (1,0)
B. (0,1)
C. (0,-2)
D. (-2,0)

Help Me, I do not know how to figure this out?????

A person tried helping me with this, but I didn't understand what they meant, please help

SO the x coordinate is same as as (-2)?

A vertical line has undefined slope because all points on the line have the same x-coordinate.

So it would be (-2, 0)

To determine which of the given points could be (p, q) for a line with an undefined slope passing through (-2, 1), we need to consider the definition of an undefined slope.

An undefined slope occurs when the line is vertical, meaning it goes straight up and down. This implies that the line's run is zero, and the rise can be any value. In other words, the x-coordinate doesn't change, while the y-coordinate can be any real number.

Let's check each of the given points:

A. (1, 0): This point has a different x-coordinate than (-2, 1), so it cannot be on the same vertical line.
B. (0, 1): This point also has a different x-coordinate than (-2, 1), so it cannot be on the same vertical line.
C. (0, -2): This point has a different x-coordinate than (-2, 1), so it cannot be on the same vertical line.
D. (-2, 0): This point has the same x-coordinate as (-2, 1), so it could be on the same vertical line.

Therefore, the point (p, q) that could be on the same vertical line is D. (-2, 0).

To determine if a point could be (p, q) on a line with an undefined slope passing through the points (-2, 1) and (p, q), we need to consider the characteristics of a line with an undefined slope.

A line with an undefined slope is a vertical line, where the x-coordinate is constant for all the points on the line. In other words, the x-coordinate remains the same while the y-coordinate can vary. Therefore, to determine if a point (p, q) is on the line, we need to check if the x-coordinate of the point is the same as the given x-coordinate of (-2) for both points.

Let's go through each option to see if it satisfies this condition:

A. (1, 0): The x-coordinate is different from -2, so this point cannot be on the line.

B. (0, 1): The x-coordinate is different from -2, so this point cannot be on the line.

C. (0, -2): The x-coordinate is different from -2, so this point cannot be on the line.

D. (-2, 0): The x-coordinate is the same as -2, so this point could be on the line.

Therefore, the point (-2, 0) is the only valid option (p, q) for a line with an undefined slope passing through the points (-2, 1) and (p, q).