What is the equation of the line that passes through (0, -2) and has a slope of O? O = -2 Oy= 2 x= 2

Question

asked Sep 2, 2022 109k views

1 Answer

BabC · Answer 1 · 2022-09-08T13:32:58+0000

Answer:

The equation of the line that passes through (0, -2) and has a slope of 0 is
$\mathbf{y=-2}$

Explanation:

We need to find the equation of the line that passes through (0, -2) and has a slope of 0?

The equation of line can be expressed in slope-intercept form
y=mx+b where

We need to find slope and y-intercept for the equation.

We are given slope = 0 so, m = 0

Now, y-intercept can be found using slope m=0 and point (0,-2)

$y=mx+b\\-2=0(0)+b\\-2=b\\or\\b=-2$

So, we get y-intercept: b = -2

Now, the equation of the line having slope m=0 and y-intercept b=-2 is:

$y=mx+b\\y=0(x)-2\\y=-2$

So, the equation of the line that passes through (0, -2) and has a slope of 0 is
$\mathbf{y=-2}$