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GarryVolchara [31]
4 years ago
13

write the equation of the line perpendicular to the line through the points (5, -4) and (1,4) and passes through the point (0,4)

in slope-intercept form
Mathematics
1 answer:
LUCKY_DIMON [66]4 years ago
6 0

Answer:

  • y = 1/2x + 4

Step-by-step explanation:

<u>Line through the points:</u>

  • (5, -4) and (1, 4)

<u>Equation of line</u>

  • y = mx + b
  • m = (4 -(-4))/(1 - 5) = 8/(-4) = -2
  • y = -2x + b

<u>Perpendicular line has a slope that is negative reciprocal to this one, so</u>

  • y = 1/2x + b

This line has y-intercept of 4 as it passes through the point (0, 4)

<u>So the line is:</u>

  • y = 1/2x + 4
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