Question 5679
The point-slope equation y=mx+b (which tells you how much y is changing for every so much that x changes)

m=slople, b=y-intercept (the point on the y-axis where the line toches or intercepts)

first you have to find the slope with the points given:

equation for slope is m = y2 - y1/x2 - x1

for points (-2,2) -2=x1 and 2=y1
for points (0,5)   0=x2 and 5=y2

m = 5-2/0-(-2) = 3/2
m = 3/2 

when you have an x value that is zero, the y value is the b in the point-slope equation. 
(graph out the points and you'll know what I mean)
therefore the y-intercept = 5 (because of the points given (0,5) so if 
y-intercept=b, then b=5.
Now just fill in the equation:
y=mx+b
m=3/2
b=5

y=3/2x + 5