Write the equation of the line in slope intercept form that contains the point (-2,-1) and is perpendicular to the graph of y=-2x-3

y = -0.5x -2

Step-by-step explanation:

We have to find a line perpendicular to the line y = -2x -3.

Let the required line will have slope m so ,

-2m = 1

m = -0.5.

So, the required line will have the slope -0.5.

Now, let the line be y = -0.5x + c.

This line is passing through (-2,-1), So putting this point in the line we will get

-1 = 1 + c

c = -2 .

So, the required line is

y = -0.5x -2.