ximenapaez ximenapaez
  • 15-04-2020
  • Mathematics
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A line has this equation: -x + 7y = 49 write an equation for the perpendicular line that goes through (5, 3)

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BunnyFlower
BunnyFlower BunnyFlower
  • 15-04-2020

Step-by-step explanation:

-x + 7y = 49

convert to slope-intercept form

7y = x + 49

y = x/7 +49/7

y = x/7 + 7

m = x/7

Perpendicular lines have opposite-reciprocal slopes

y = -7/x + b

sub (5,3)

3 = -7/(5) + b

b= 3 + (7/5)

b = 22/5

final answer: y = -7/x + 22/5

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