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Which equation is the equation of a line that passes through (-10,3) and is perpendicular to y=5x-7

a) y=5x+53
b) y=-1/5x-7
c) y=-1/5x+1
d) y=1/5x+5

User Kirin
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Answer:

c) y = -1/5x+1

Explanation:

The x-coefficient is the slope of the given line: 5.

The slope of the desired line is the negative reciprocal of that: -1/5. This will be the x-coefficient of the answer, eliminating choices (a) and (d).

Putting the given values of x and y into the remaining answer choices, we see ...

3 ≠ -1/5(-10) -7 = -5 . . . . . (b) is not the answer

3 = (-1/5)(-10) +1 = 3 . . . . (c) is the answer

User D Coetzee
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