Question

which ordered pair is a solution of the equation:
$y = -\frac{5}{4}x - 2$
$(-8, 8)$
$(8, -8)$
$(1, -\frac{13}{4})$
$(-8, -12)$

Explanation:

Step1: Test (-8,8) in equation

Substitute $x=-8, y=8$ into $y=-\frac{5}{4}x-2$:
$8 = -\frac{5}{4}(-8) - 2 = 10 - 2 = 8$

Step2: Verify other options (optional check)

For (8,-8): $-8 = -\frac{5}{4}(8)-2 = -10-2=-12
eq -8$
For $(1, -\frac{15}{4})$: $-\frac{15}{4} = -\frac{5}{4}(1)-2 = -\frac{5}{4}-\frac{8}{4}=-\frac{13}{4}
eq -\frac{15}{4}$
For (-8,-12): $-12 = -\frac{5}{4}(-8)-2=10-2=8
eq -12$

Answer:

A. (-8, 8)