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