Answer:
The equation of the line that passes through (0, -2) and has a slope of 0 is [tex]\mathbf{y=-2}[/tex]
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 [tex]y=mx+b[/tex] 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)
[tex]y=mx+b\\-2=0(0)+b\\-2=b\\or\\b=-2[/tex]
So, we get y-intercept: b = -2
Now, the equation of the line having slope m=0 and y-intercept b=-2 is:
[tex]y=mx+b\\y=0(x)-2\\y=-2[/tex]
So, the equation of the line that passes through (0, -2) and has a slope of 0 is [tex]\mathbf{y=-2}[/tex]
