Choose the equation below that represents the line passing through the point (−5, 1) with a slope of three halves.

Point slope
y-y1=m(x-x1) where slope=m and you are given the point (x1,y1)

slope=3/2
point is (-5,1)
y-1=(3/2)(x+5)
if you wan in slope intercept
distribute
y-1=3/2x+15/2
add 1
y=3/2x+17/2