You can set the y values equal to each other and solve the system:
x^2+3x-4=2x+2
x^2+x-6=0
(x+3)(x-2)=0
x=-3,2
So, these are the x values of the intersection. To get the y values, you can just plug them back into either formula:
y=2(-3)+2
y=-4
y2(2)+2
y=6
So the coordinates are (-3,-4) and 2,6).
