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lexilouise99
lexilouise99 lexilouise99
  • 06-01-2017
  • Mathematics
Answered

Arthur is trying to find the equation of a perpendicular to y = 1/4x + 4 in slope-intercept form that passes through the point (−2, 6). Which of the following equations will he use?

Verified Answer :

MissPhiladelphia
MissPhiladelphia MissPhiladelphia
  • 11-01-2017

The slope of
line that is perpendicular to another line, has a slope of negative reciprocal
of the given line.

So the slope of
the perpendicular line to y = 1/4x + 4 is -4

 

To solve for
the y intercept

Y = mx + b

6 = (-4)(-2) +
b

B = 14

 

So the answer
is

Y = -4x + 14 

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