rywon0916
contestada

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

Respuesta :

mhanifa

Answer:

  • y = 1/2x + 4

Step-by-step explanation:

Line through the points:

  • (5, -4) and (1, 4)

Equation of line

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

Perpendicular line has a slope that is negative reciprocal to this one, so

  • y = 1/2x + b

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

So the line is:

  • y = 1/2x + 4

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