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

Answer 1

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 \( y = x - 6 \).