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  • 17-09-2022
  • Mathematics
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Find the equation of the line perpendicular to the graph of x + 4y = 2 that contains the point (-1,3)

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dt33183 dt33183
  • 17-09-2022

Answer:

y = 4x + 7

or y - 4x = 7

Step-by-step explanation:

x + 4y = 2

4y = -x + 2

y = -1/4x + 2

The slopes of two perpendicular lines are negative reciprocals of each other. So the slope of the perpendicular line should be negative reciprocal of -1/4, then it is 4

Given m = 4, y = 3, x = -1

y = mx + b

3 = 4(-1) + b

3 = -4 + b

b = 7

y = 4x + 7

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