Question

Select the correct answer. Which equation represents a line that is parallel to the x-axis, is perpendicular to the y-axis, and has a slope of 0? OA & = 1/2 + 1 - 5 4 ОВ. 5 y=41 OC. y = 5 OD. IN I=

Answer 1

Given

A line that is parallel to the x-axis and is perpendicular to the y-axis, and has a slope of 0

To find the equation of the line.

The equation of the line parallel to x axis is given by,

$y=b$

The equation of the line perpendicular to y axis is,

$x=a$

Hence, the equation of the given line is of the form.

$y-y_1=m(x-x_1)$

Since slope is 0.

Then,

$\begin{gathered} y-y_1=0(x-x_1) \\ y-y_1=0 \\ y=y_1 \\ y=b\text{.} \end{gathered}$

Therefore the equation is y=b.