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write an equation of the line that passes through (-1,7) and is perpendicular to the line y=-1/8x -1

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Answer:

y = 8x + 15

Step-by-step explanation:

Step 1: Find slope of perpendicular line

Take the negative reciprocal of the 1st equation

m = 8

y = 8x + b

Step 2: Find b

7 = 8(-1) + b

7 = -8 + b

b = 15

Step 3: Rewrite perpendicular equation

y = 8x + 15