It's safe to assume that this kite is symmetrical about the y-axis. Reflecting (b,0) about the y-axis results in (-b,0) (answer)
5x-12=2x+24
-2x -2x
3x-12=24
+12 +12
3x=36
/3 /3
x=12
Y = 3x + b
Now plug in points
-7 = 3(-1) + b
-7 = -3 + b
b = -4
The y intercept is -4