Question

Which ordered pair is a solution to the equation below?

y = -3x + 2

(1, 5)

(-1, 6)

(2, -5)

(-2, 8)

Answer 1

To find which ordered pair is a solution to the equation \( y = -3x + 2 \), we can substitute the \( x \) value from each ordered pair into the equation and see if the resulting \( y \) value matches the one given in the ordered pair.

1. For the ordered pair \( (1, 5) \):
\[
y = -3(1) + 2 = -3 + 2 = -1 \quad \text{(not } 5\text{)}
\]

2. For the ordered pair \( (-1, 6) \):
\[
y = -3(-1) + 2 = 3 + 2 = 5 \quad \text{(not } 6\text{)}
\]

3. For the ordered pair \( (2, -5) \):
\[
y = -3(2) + 2 = -6 + 2 = -4 \quad \text{(not } -5\text{)}
\]

4. For the ordered pair \( (-2, 8) \):
\[
y = -3(-2) + 2 = 6 + 2 = 8 \quad \text{(matches } 8\text{)}
\]

Thus, the ordered pair that is a solution to the equation \( y = -3x + 2 \) is \( (-2, 8) \).