Question

Choose the equation below that represents the line passing through the point (-3, -1) with a slope of 4.

y = 4x - 11

y = 4x + 11

y = 4x + 7

y = 4x - 7

Answer 1

First you can start with y=mx+b. Plug in all the variables that are already known. Since you already know the x and y coordinates as well as the slope, you can plug in the values for x, y, and m.
(-1)=(4)(-3)+b
Then solve for b.
(-1)=(4)(-3)+b -> Multiply 4 and -3.
(-1)=(-12)+b -> Isolate "b" by adding 12 to both sides of the equation to cancel out -12.
11=b

Now plug in the slope and your found "b" into y=mx+b
y=4x+11

Answer 2

You can check this by plugging in the (x,y) values.
(-1)=4(-3)+11
(-1)=(-12)+11
-1=-1