Answer
(-4, 4)
Work Step by Step
Set y = $-\frac{1}{2}x$ + 2 and y = $\frac{3}{4}x$ + 7 equal to each other
Solve for x:
$-\frac{1}{2}x$ - $\frac{3}{4}x$ = 5
$-\frac{5}{4}x$ = 5
x = -4
Plug x into y = $-\frac{1}{2}x$ + 2
y = $-\frac{1}{2} \times -4$ + 2
y = 2 + 2
y = 4