Which two ordered pairs are solutions for y=4x−2 ? Choose two. (2 points) Responses (−2,0) open paren negative 2 comma 0 close paren (2,6) open paren 2 comma 6 close paren (−1,−6) open paren negative 1 comma negative 6 close paren (6,2)

Answer 1

To determine which ordered pairs are solutions for the equation \( y = 4x - 2 \), we can substitute the \( x \) values from each ordered pair into the equation and see if the resulting \( y \) matches the given pair.

1. For the pair \((-2, 0)\): \[ y = 4(-2) - 2 = -8 - 2 = -10 \quad \text{(not a solution, since \( y \neq 0\))} \]

2. For the pair \((2, 6)\): \[ y = 4(2) - 2 = 8 - 2 = 6 \quad \text{(this is a solution)} \]

3. For the pair \((-1, -6)\): \[ y = 4(-1) - 2 = -4 - 2 = -6 \quad \text{(this is a solution)} \]

4. For the pair \((6, 2)\): \[ y = 4(6) - 2 = 24 - 2 = 22 \quad \text{(not a solution, since \( y \neq 2 \))} \]

Thus, the two ordered pairs that are solutions for \( y = 4x - 2 \) are:

\((2, 6)\) and \((-1, -6)\).