Slope intercept form is y=mx+b.
We need to find the slope. 4-(-2)=6, 3-0=3. These numbers are pulled from the points given.
Δy=6, Δx=3
m=Δy/Δx
Plug the slope and one of the points into the equation, and you get 4=6/3(3)+b
You can use algebra to find B.
Hope this helps!