Select the option below that correctly shows which of the following ordered pairs is part of the solution set for the equation y=4x+2

Question

.(1 point)
Responses

(3,14)
left parenthesis 3 comma 14 right parenthesis

(3,7)
left parenthesis 3 comma 7 right parenthesis

(3,45)
left parenthesis 3 comma 45 right parenthesis

(3,12)
left parenthesis 3 comma 12 right parenthesis

Answer 1

To determine which ordered pair is part of the solution set for the equation $y=4x+2$, we can substitute the x-value from each ordered pair into the equation and see if the resulting value of y matches the y-value of the ordered pair.

1. For the pair $(3,14)$: $$y=4(3)+2=12+2=14$$ This is a solution.

2. For the pair $(3,7)$: $$y=4(3)+2=12+2=14$$ This is not a solution.

3. For the pair $(3,45)$: $$y=4(3)+2=12+2=14$$ This is not a solution.

4. For the pair $(3,12)$: $$y=4(3)+2=12+2=14$$ This is not a solution.

The only ordered pair that satisfies the equation is $(3,14)$.

Therefore, the correct response is: (3, 14)