Question

Does the point (–1, 6) satisfy the equation y = –x − –5?

Answer 1

To determine if the point \((-1, 6)\) satisfies the equation \(y = -x - -5\), we first need to simplify the equation.

The equation \(y = -x - -5\) can be rewritten as:

\[
y = -x + 5
\]

Next, we will substitute \(x = -1\) into the equation to find the corresponding \(y\) value:

\[
y = -(-1) + 5
\]

This simplifies to:

\[
y = 1 + 5 = 6
\]

Now we compare this \(y\) value with the \(y\) value from the point \((-1, 6)\):
- The calculated \(y\) value is \(6\).
- The \(y\) value from the point is also \(6\).

Since both \(y\) values are equal, we conclude that the point \((-1, 6)\) satisfies the equation \(y = -x + 5\).