Plug the points to the equation to check if the points lie on the graph. Check if the result on the right side is equal to 8.
First option
(x,y) = (-2,7)
3y + 2x __ 8
3(7) + 2(-2) __ 8
21 - 4 __ 8
17 ≠ 8
First point doesn't lie on the graph
Second option
(x,y) = (0,4)
3y + 2x __ 8
3(4) + 2(0) __ 8
12 + 0 __ 8
12 ≠ 8
Second point doesn't lie on the graph
Third option
(x,y) = (2,4)
3y + 2x __ 8
3(4) + 2(2) __ 8
12 + 4 __ 8
16 ≠ 8
Third point doesn't lie on the graph
Fourth option
(x,y) = (7,-2)
3y + 2x __ 8
3(-2) + 2(7) __ 8
-6 + 14 __ 8
8 = 8
Fourth point lies on the graph
The answer is fourth option