Question

What is the equation of a line that has an undefined slope and runs through the point (3, 8)?

a) x = 8
b) x = 3
c) y = 8
d) y = 3

Answer 1

The equation of a line with an undefined slope that passes through (3, 8) is x = 3 because a vertical line has all points with the same x-coordinate.

Step-by-step explanation:

The question asks for the equation of a line that has an undefined slope and passes through the point (3, 8). A line with an undefined slope is a vertical line, which means that all points on the line have the same x-coordinate. Since the point given has an x-coordinate of 3, the equation of the line is x = 3. Hence, the correct answer is option b) x = 3.

Any vertical line will have an equation in the form of x = a, where 'a' is the constant x-coordinate for all points on the line. In this case, as the line goes through (3, 8), 'a' is equal to 3. There is no change in the x-coordinate no matter what the y-coordinate is, resulting in an undefined slope. Thus, the equation of the line is simply x = 3.