Question

Decide which of the ordered pairs are solutions for the equation y = 4x + 2
Solution
Not A Solution
A) (-2, -6)
B) ( -1, 0)
C) (-2, 6)
D) (0, 2)

Answer 1

To determine whether each ordered pair is a solution to the equation \( y = 4x + 2 \), we will substitute the \( x \) value from each pair into the equation and see if it yields the corresponding \( y \) value.

A) For (-2, -6):
- Substitute \( x = -2 \):
\[
y = 4(-2) + 2 = -8 + 2 = -6
\]
The ordered pair (-2, -6) is a solution.

B) For (-1, 0):
- Substitute \( x = -1 \):
\[
y = 4(-1) + 2 = -4 + 2 = -2
\]
The ordered pair (-1, 0) is not a solution.

C) For (-2, 6):
- Substitute \( x = -2 \):
\[
y = 4(-2) + 2 = -8 + 2 = -6
\]
The ordered pair (-2, 6) is not a solution.

D) For (0, 2):
- Substitute \( x = 0 \):
\[
y = 4(0) + 2 = 0 + 2 = 2
\]
The ordered pair (0, 2) is a solution.

In summary:
A) (-2, -6) - Solution
B) (-1, 0) - Not a Solution
C) (-2, 6) - Not a Solution
D) (0, 2) - Solution