The line with x-intercept of -2 and y-intercept of -1 in slope intercept form

In order to write this equation, you must first graph the points.  The x-intercept of -2 means the point on the graph is at (-2,0).  The y-intercept of -1 means the point on the graph is at (0,-1).  To get our slope, we must first subtract the x-intercept from the y-intercept.

(-2,0)

-(0,-1)

=(-2,-1)

Rise (y) over Run (x)

Our slope would be 1/2.

Now that we have our slope, let's get our equation set up.  y = mx + b

y = 1/2x + b

Now we plug in one of our coordinates to get our "b".

-1 = 1/2(0) + b

-1=b

Now our line equation is y = 1/2x - 1

Hope this helped!

-TTL