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

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

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

Answer 1

To determine which of the ordered pairs is part of the solution set for the equation \( y = 4x + 2 \), we can substitute \( x = 3 \) into the equation and calculate the corresponding value of \( y \).

Substituting \( x = 3 \):

\[ y = 4(3) + 2 = 12 + 2 = 14 \]

This means that when \( x = 3 \), \( y \) should be \( 14 \).

Now let's compare this result with the options provided:

• \( (3, 14) \) → \( y = 14 \) (This pair is part of the solution set)
• \( (3, 7) \) → \( y = 7 \) (Not part of the solution set)
• \( (3, 12) \) → \( y = 12 \) (Not part of the solution set)
• \( (3, 45) \) → \( y = 45 \) (Not part of the solution set)

The only ordered pair that is part of the solution set is \( (3, 14) \).