Question

How do i write an equation in point-slope form for a horizontal line that passes through(4, –2)??

Answer 1

`y = -2`

Explanation:

Given

Horizontal Line

`(x_1,y_1) = (4,-2)`

Required

Determine the equation

The equation is calculated using:

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

Where

`m = slope`

Because the line is a horizontal line, then:

`m = 0`

Substitute 0 for m and values for x1 and y1 in
`y - y_1 =m(x-x_1)`

`y - (-2) = 0(x -4)`

`y +2 = 0(x -4)`

`y +2 = 0`

Subtract 2 from both sides

`y +2-2 = 0-2`

`y = -2`

Hence, the equation is:
`y = -2`