Question

this is the graph of the equation 3x - 2y = 4. which ordered pairs are solutions to the equation? select all that apply. (0, -2) (-4, -8) (-2, -5)

Explanation:

Step1: Check (0, -2)

Substitute \( x = 0 \), \( y = -2 \) into \( 3x - 2y = 4 \).
Left side: \( 3(0) - 2(-2) = 0 + 4 = 4 \), which equals the right side. So (0, -2) is a solution.

Step2: Check (-4, -8)

Substitute \( x = -4 \), \( y = -8 \) into \( 3x - 2y = 4 \).
Left side: \( 3(-4) - 2(-8) = -12 + 16 = 4 \), which equals the right side. So (-4, -8) is a solution.

Step3: Check (-2, -5)

Substitute \( x = -2 \), \( y = -5 \) into \( 3x - 2y = 4 \).
Left side: \( 3(-2) - 2(-5) = -6 + 10 = 4 \), which equals the right side. So (-2, -5) is a solution.

Answer:

(0, -2), (-4, -8), (-2, -5)