Rewrite the equation x - y = 6 in slope-intercept form (y = mx + b). Is this the graph of your answer? (0, -6) (1, -5)

To rewrite the equation \( x - y = 6 \) in slope-intercept form \( y = mx + b \), we need to solve for \( y \).

Starting with the original equation:

\[
x - y = 6
\]

We can isolate \( y \) by moving \( x \) to the right side:

\[
-y = -x + 6
\]

Now, multiply by -1 to flip the signs:

\[
y = x - 6
\]

Now we have the equation in slope-intercept form: \( y = x - 6 \).

### To check if the points (0, -6) and (1, -5) are on the graph:

1. For the point \( (0, -6) \):
\[
y = 0 - 6 = -6
\]
This point satisfies the equation.

2. For the point \( (1, -5) \):
\[
y = 1 - 6 = -5
\]
This point also satisfies the equation.

Both points are indeed on the graph of the equation \( y = x - 6 \).