Question

Which of the following is the equation of a line that passes through the point

(1.4) and is parallel to the x-axis?
A.x=1 B.y=4 C.x=4 D.y=1

Answer 1

Given:

A line passes through the point (1,4) and is parallel to the x-axis.

To find:

The equation of the line.

Solution:

If a line is parallel to x-axis, then the line is a horizontal line. We know that the slope of a horizontal line is always 0. So, the slope of the required line is 0.

The point-slope form of a line is:

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

Where, m is the slope and
`(x_1,y_1)` is the point.

The slope of the required line is 0 and it passes through the point (1,4). So, the equation of the line is:

`y-4=0(x-1)`

`y-4=0`

`y-4+4=0+4`

`y=4`

The required equation is
`y=4`.

Therefore, the correct option is B.