Question

A line contains (4,5). List a point through which the line has to pass in order to have an undefined slope.​

Answer 1

A line with an undefined slope is vertical, so it can pass through any point with the same x-coordinate as the given point (4,5), such as (4,8) or (4,-3).

Step-by-step explanation:

A line that has an undefined slope is a vertical line, which means it cannot have a change in the x-coordinate; only the y-coordinate can change. Since the given point is (4,5), another point that the line must pass through to have an undefined slope can be any point with the x-coordinate still being 4. For example, (4,8) or (4,-3) would be appropriate since the change in the x-coordinate is zero, and the line remains vertical.