Question

A line passes through the point (−8,−1) and has a slope of 3/2
.Write an equation in slope-intercept form for this line.

Answer 1

Well y=mx +b

M is the slope
B is the y-intercept. You know x, y, and the slope.
You don't know the y-intercept so that is what you need to find

So substitute

Y=mx+b
-1= 3/2(-8)+b
-1=-12+b
Add 12 to both sides
11=b

Now you know the y-intercept

Rewrite the equation

Y=3/2x+11