Question

Is (−2, 6) on the line created by y=−x+8? How do you know?

Yes, because when you substitute −2 for x and 6 for y, the equation is true.

Yes, because when you substitute 6 for x and −2 for y, the equation is true.

No, because when you substitute −2 for x and 6 for y, the equation is NOT true.

No, because when you substitute 6 for x and −2 for y, the equation is NOT true.

Answer 1

To determine whether the point \((-2, 6)\) is on the line defined by the equation \(y = -x + 8\), we need to substitute \(x = -2\) into the equation and see if the resulting \(y\) value equals 6.

Start by substituting \(-2\) for \(x\):

\[
y = -(-2) + 8
\]

This simplifies to:

\[
y = 2 + 8 = 10
\]

Since the calculated \(y\) value (10) does not equal the \(y\) value from the point (6), the point \((-2, 6)\) is not on the line.

Thus, the correct answer is:

**No, because when you substitute −2 for x and 6 for y, the equation is NOT true.**