Question

2. Which point lies on the graph represented by the equation 3y + 2x = 8?

(1) (-2,7)
(2) (0,4)
(3) (2,4)
(4) (7,-2)​

Answer 1

4) (7, - 2)

Explanation:

A point that lies on the graph of 3y + 2x = 8 is a solution of this equation. Substitute each ordered pair into the equation to find the correct answer.

1: (-2, 7)

`3y + 2x = 8`

`3(21) + 2( - 2) = 8`

`63 - 4 = 8`

`59 = 8`

59 is not equal to 8 so this answer is incorrect.

2: (0, 4)

`3y + 2x =8`

`3(4) + 2(0) = 8`

`12 + 0 = 8`

`12 = 8`

12 is not equal to 8 so this answer is incorrect.

3: (2, 4)

`3y + 2x = 8`

`3(4) + 2(2) = 8`

`12 + 4 = 8`

`16 = 8`

16 is not equal to 8 so this answer is incorrect.

4: (7, - 2)

`3y + 2x = 8`

`3( - 2) + 2(7) = 8`

`- 6 + 14 = 8`

`8 = 8`

This ordered pair satisfies the equation so this is the correct answer.