Question

Which equation represents a line that is parallel to the x-axis, is perpendicular to the y-axis, and has a slope of 0?

A) y = 4/5x + 5/4
B) y = 5/4x
C) y = 4/5
D) x = 5/4

Answer 1

The line that is parallel to the x-axis, perpendicular to the y-axis, and has a slope of 0 is represented by the equation x = 5/4.

Step-by-step explanation:

The equation that represents a line that is parallel to the x-axis, perpendicular to the y-axis, and has a slope of 0 is x = 5/4.

A line parallel to the x-axis means that the line has a slope of 0 because the change in y-coordinate is always 0 for any change in the x-coordinate. Perpendicular to the y-axis means that the line is vertical, so the equation has the form x = k, where k is a constant.

Therefore, the equation x = 5/4 represents a line that satisfies all the given conditions.