What is the answer and how do you do it?

Question

Find the equation of the line that has a slope of -2/3 and passes through (4,-3)

Answer 1

y = mx + b

m = -2/3 x=4 y = -3

-3 = (-2/3)(4) + b

-3 = (-8/3) + b

9 = 8 - 3b <--- multiplies everything by -3

1 = -3b <--- subtracts 8

b = -1/3

y = (-2/3)x - 1/3