Question

A line is parallel to the x-axis and passes through (2,3). Which answer choice shows the lines equation and correct slope?

(Answers are above please help me.)

Answer 1

B

Explanation:

The equation for a line that is on the x axis is

y = 0.

for a line to be parallel to this, the gradient needs to be 0. An undefined gradient means that the line is vertical.

This means that it can't be A or C. It cannot be D either as when x = to something in the form given in D, the gradient is undefined as the line is vertical.

This means that only option left is B. Here the gradient is 0, meaning it is parallel to the x axis. In addition, since y = 3, the line will cross all points that are (x,3). This means the point (2,3) will be passed by the line.