Question

Question

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 .(1 point)
Responses

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

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

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

(3,45)

Answer 1

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

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

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

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

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

Thus, the only ordered pair that is part of the solution set for the equation $y=4x+2$ is:

(3, 14).