Final answer:
To rewrite the equation y - 3 = 9(x + 8) in slope-intercept form, distribute, simplify, and isolate the variable y.
Step-by-step explanation:
To rewrite the equation y - 3 = 9(x + 8) in slope-intercept form, we need to isolate the variable y on one side of the equation. First, distribute 9 to both terms inside the parentheses:
y - 3 = 9x + 72
Next, move -3 to the other side by adding it to both sides:
y = 9x + 72 + 3
Simplify the equation:
y = 9x + 75
Therefore, the equation in slope-intercept form is y = 9x + 75.