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20 votes
20 points.

Find the equation of the line: which passes through (1,-7) and is perpendicular to (-4,6) and (5,-3)

2 Answers

5 votes

Explanation:

Slope of line between points (-4, 6) and (5, -3)

=> Rise / Run

=> [6 - (-3)] / [(-4) - 5]

= 9 / (-9)

= -1.

Thus slope of perpendicular line

= -1 / (-1) = 1.

We have y = x + c.

When x = 1, y = -7.

=> (-7) = (1) + c, c = -8.

Hence y = x - 8.

User Zach Thacker
by
7.6k points
6 votes

Answer:

-9 6 that is because the line has to be perpenducular to the other line

User Greg Shackles
by
8.3k points

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