Final answer:
The equation y - 4 = -5(x-7) in slope-intercept form is y = -5x + 39.
Step-by-step explanation:
To represent the equation y - 4 = -5(x-7) in slope-intercept form, we need to isolate the y variable on one side of the equation.
First, distribute -5 to the terms inside the parentheses:
y - 4 = -5x + 35
Next, move the -4 to the right side of the equation:
y = -5x + 35 + 4
This simplifies to:
y = -5x + 39
Learn more about Slope-intercept form of an equation