Question

which ordered pair lies on the line $y = -5x + 8$?
$\bigcirc$ $(-2, 2)$
$\bigcirc$ $(2, -2)$
$\bigcirc$ $(7, 3)$
$\bigcirc$ $(8, 0)$

Explanation:

Step1: Test (-2,2)

Substitute \( x = -2 \), \( y = 2 \) into \( y = -5x + 8 \).
Right side: \( -5(-2) + 8 = 10 + 8 = 18
eq 2 \). Not valid.

Step2: Test (2,-2)

Substitute \( x = 2 \), \( y = -2 \) into \( y = -5x + 8 \).
Right side: \( -5(2) + 8 = -10 + 8 = -2 \). Matches \( y \).

Step3: Test (7,3)

Substitute \( x = 7 \), \( y = 3 \) into \( y = -5x + 8 \).
Right side: \( -5(7) + 8 = -35 + 8 = -27
eq 3 \). Not valid.

Step4: Test (8,0)

Substitute \( x = 8 \), \( y = 0 \) into \( y = -5x + 8 \).
Right side: \( -5(8) + 8 = -40 + 8 = -32
eq 0 \). Not valid.

Answer:

B. (2, -2)