Which one is the solution to the equation y= -2x + 5

(0,5)
(3, 12)
(9, 22)
(-1, 7)

1 answer

To check which point is a solution to the equation y = -2x + 5, we substitute the x and y values of each point into the equation and check if it is true.

(0, 5):
5 = -2(0) + 5
5 = 0 + 5
5 = 5
This equation is true, so (0, 5) is a solution to the equation.

(3, 12):
12 = -2(3) + 5
12 = -6 + 5
12 = -1
This equation is false, so (3, 12) is not a solution to the equation.

(9, 22):
22 = -2(9) + 5
22 = -18 + 5
22 = -13
This equation is false, so (9, 22) is not a solution to the equation.

(-1, 7):
7 = -2(-1) + 5
7 = 2 + 5
7 = 7
This equation is true, so (-1, 7) is a solution to the equation.

Therefore, the solutions to the equation y = -2x + 5 are (0,5) and (-1,7).