thebuenosteak
thebuenosteak thebuenosteak
  • 07-01-2020
  • Mathematics
contestada

A line is perpendicular to y = -1/3x + 7 and intersects the point (4, 2). What is the equation of this perpendicular line?

Respuesta :

kenlingdad kenlingdad
  • 07-01-2020

Answer:

y = 3x - 10

Step-by-step explanation:

y = -1/3 x + 7

m = - 1/3

slope of perpendicular line m' = - 1/m = 3

for point (4,2)

y = m'x + b  ... y intercept

y = 3 x + b

b = y - 3x = 2 - (3 x 4) = - 10

equation of perpendicular line:   y = 3x - 10

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