Final answer:
To write the equation in slope-intercept form, we distribute -8 to terms within the parenthesis, isolate y, and simplify the equation to y = -8x - 78.
Step-by-step explanation:
To write the given equation in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept, we need to isolate y on one side of the equation.
So, starting with the given equation y - 2 = -8(x + 10), we can distribute -8 to the terms inside the parenthesis: y - 2 = -8x - 80.
Next, add 2 to both sides of the equation to isolate y: y = -8x - 80 + 2 which simplifies to y = -8x - 78.
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