Question

Which two ordered pairs are solutions for y=4x−2 ?

Choose two.

Algebra 1B Reference Sheet

Responses

(−1,−6)
open paren negative 1 comma negative 6 close paren - not selected, this is the correct answer

(2,6)
open paren 2 comma 6 close paren - correct

(6,2)
open paren 6 comma 2 close paren - no response given

(−2,0)

Answer 1

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

Let's evaluate each pair:

1. **For \( (-1, -6) \)**:
\[
y = 4(-1) - 2 = -4 - 2 = -6
\]
The equation holds true, so \( (-1, -6) \) is a solution.

2. **For \( (2, 6) \)**:
\[
y = 4(2) - 2 = 8 - 2 = 6
\]
The equation holds true, so \( (2, 6) \) is a solution.

3. **For \( (6, 2) \)**:
\[
y = 4(6) - 2 = 24 - 2 = 22
\]
This does not match \( y = 2 \), so \( (6, 2) \) is not a solution.

4. **For \( (-2, 0) \)**:
\[
y = 4(-2) - 2 = -8 - 2 = -10
\]
This does not match \( y = 0 \), so \( (-2, 0) \) is not a solution.

The two ordered pairs that are solutions to the equation \( y = 4x - 2 \) are:
- \( (-1, -6) \)
- \( (2, 6) \)

So the correct responses are \( (-1, -6) \) and \( (2, 6) \).