Question

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

Answer 1

Answer:

$y = -2$

Step-by-step 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: $y = -2$