Which ordered pairs is a solution of the following equation. Select all that apply.

y=9x−2

(1 point)
Responses


(1,7)

(−1,11)

(0,−2)

(2,16)

(−1,−11)

1 answer

To determine which ordered pairs are solutions to the equation y = 9x - 2, we substitute the x-value into the equation and check if the resulting y-value matches the given y-value.

Let's check each ordered pair:

(1,7):
Substituting x = 1 into the equation:
7 = 9(1) - 2
7 = 9 - 2
7 = 7

The y-value matches, so (1,7) is a solution.

(−1,11):
Substituting x = -1 into the equation:
11 = 9(-1) - 2
11 = -9 - 2
11 = -11

The y-values do not match, so (−1,11) is not a solution.

(0,−2):
Substituting x = 0 into the equation:
-2 = 9(0) - 2
-2 = -2

The y-value matches, so (0,-2) is a solution.

(2,16):
Substituting x = 2 into the equation:
16 = 9(2) - 2
16 = 18 - 2
16 = 16

The y-value matches, so (2,16) is a solution.

(−1,−11):
Substituting x = -1 into the equation:
-11 = 9(-1) - 2
-11 = -9 - 2
-11 = -11

The y-value matches, so (−1,−11) is a solution.

Therefore, the ordered pairs that are solutions to the equation are (1,7), (0,-2), (2,16), and (−1,−11).