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Rewrite the following equation in slope-intercept form.

y + 10 = 7(x − 8)

1 answer

To rewrite the equation \( y + 10 = 7(x - 8) \) in slope-intercept form \( y = mx + b \), follow these steps:

  1. Distribute the \( 7 \) on the right side: \[ y + 10 = 7x - 56 \]

  2. Subtract \( 10 \) from both sides to isolate \( y \): \[ y = 7x - 56 - 10 \]

  3. Combine the constants on the right side: \[ y = 7x - 66 \]

Thus, the equation in slope-intercept form is: \[ y = 7x - 66 \]