Question

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

O = -2
Oy= 2
x= 2​

Answer 1

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

• 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}`