Which of the following ordered pairs is in the solution set for y=8x−1 ?(1 point)

Question

Responses

(2,81)
left parenthesis 2 comma 81 right parenthesis

(2,82)
left parenthesis 2 comma 82 right parenthesis

(2,16)
left parenthesis 2 comma 16 right parenthesis

(2,15)

Answer 1

To determine which ordered pair is in the solution set for the equation \( y = 8x - 1 \), we can substitute \( x = 2 \) into the equation and compute \( y \).

Calculating:

\[ y = 8(2) - 1 \] \[ y = 16 - 1 \] \[ y = 15 \]

So when \( x = 2 \), \( y = 15 \).

Now, we can check the ordered pairs:

• For \( (2, 81) \): \( y \neq 15 \)
• For \( (2, 82) \): \( y \neq 15 \)
• For \( (2, 16) \): \( y \neq 15 \)
• For \( (2, 15) \): \( y = 15 \)

Thus, the ordered pair that is in the solution set for \( y = 8x - 1 \) is \( \boxed{(2, 15)} \).