Can somebody help me with this problem?

Explanation:

The given slope is m = 1.5

We want the line to go through (x,y) = (6,72). This means x = 6 and y = 72 pair up together.

We'll plug those m, x, and y values into the equation below to solve for b

y = mx+b

72 = 1.5*6+b

72 = 9+b

72-9 = b ... subtract 9 from both sides

63 = b

b = 63 ... y intercept

Since m = 1.5 and b = 63, we go from y = mx+b to y = 1.5x+63

b