Question

Write the equation of the line with a slope of 32 that contains the point (-4,-2).

Answer 1

y = mx + b where m = 32 with the point (-4,-2).
so
b = y - mx
b = -2 - 32(-4)
b = -2 + 128
b = 126

equation
y = 32x + 126

Hope it helps

Answer 2

The equation you are trying to follow is: y = mx + b.

m = slope
x = x
y = y

Plug in the numbers to it's corresponding variable

-2 = 32(-4) + b

Simplify. Multiply 32 with -4

32 x -4 = -128

-2 = -128 + b

isolate the b, add 128 to both sides

-2 (+128) = -128 (+128) + b

b = 128 - 2

b = 126

Plug in 126 for b

-2 = 32(-4) + 126


-2 = 32(-4) + 126 is your equation


hope this helps