The equation y = 4x + 2 means that for every input value of x, the corresponding output value of y is 4 times the input value plus 2.
To check if an ordered pair is a solution for the equation, we substitute the x-value into the equation and see if it gives us the corresponding y-value.
Let's check each option:
Option A: (3, 45)
Is 45 equal to 4 times 3 plus 2? 45 = 4(3) + 2 ? 45= 12 + 2 ? 45= 14 ? No, 45 is not equal to 14.
Option B: (3, 7)
Is 7 equal to 4 times 3 plus 2? 7 = 4(3) + 2 ? 7= 12 + 2 ? 7= 14 ? No, 7 is not equal to 14.
Option C: (3, 14)
Is 14 equal to 4 times 3 plus 2? 14 = 4(3) + 2 ? 14= 12 + 2 ? 14= 14 ? Yes, 14 is equal to 14.
Option D: (3, 12)
Is 12 equal to 4 times 3 plus 2? 12 = 4(3) + 2 ? 12= 12 + 2 ? 12= 14 ? No, 12 is not equal to 14.
The only ordered pair that correctly shows a solution for the equation y = 4x + 2 is (3, 14). Therefore, the correct option is C.
Select the option below that correctly shows which of the following ordered pairs of the solution set for the equation y = 4x + 2.
A. (3, 45)
B. (3, 7)
C. (3, 14)
D. (3, 12)
1 answer