Question

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

Answer 1

Answer:

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

Step-by-step 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

• m is slope
• b is y-intercept

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 $\mathbf{y=-2}$