Question

Solution of (6,2)
What equation would also equal (6,2)
y= -3/2x+6
y= 4x-2
y=1/2x-1
y=2/3x-1

Answer 1

To determine which equation equals (6, 2), we need to substitute \( x = 6 \) into each equation and see if we get \( y = 2 \).

1. For the equation \( y = -\frac{3}{2}x + 6 \):
\[
y = -\frac{3}{2}(6) + 6 = -9 + 6 = -3 \quad \text{(not equal to 2)}
\]

2. For the equation \( y = 4x - 2 \):
\[
y = 4(6) - 2 = 24 - 2 = 22 \quad \text{(not equal to 2)}
\]

3. For the equation \( y = \frac{1}{2}x - 1 \):
\[
y = \frac{1}{2}(6) - 1 = 3 - 1 = 2 \quad \text{(equal to 2)}
\]

4. For the equation \( y = \frac{2}{3}x - 1 \):
\[
y = \frac{2}{3}(6) - 1 = 4 - 1 = 3 \quad \text{(not equal to 2)}
\]

The only equation that equals (6, 2) is:

\[
y = \frac{1}{2}x - 1
\]