Question

The math teacher asked his students to determine a solution for 1.5x−2y=8
. Which solution below is the correct one?(1 point)

Fiona believes (4,7)
is a solution.

Sam believes (−4,−7)
is a solution.

Peter believes (−4,7)
is a solution.

Mary believes (4,−7)
is a solution.

Answer 1

Plug each point into 1.5x − 2y = 8 (note 1.5 = 3/2, so 3x − 4y = 16).

For Sam: x = −4, y = −7:
1.5(−4) − 2(−7) = −6 + 14 = 8.

Thus (−4, −7) satisfies the equation. Sam is correct.