devonriley devonriley
  • 16-01-2022
  • Mathematics
contestada

write the equation of the line perpendicular to y = -2x + 4 that passes through the point (4,1)?

Respuesta :

annie413
annie413 annie413
  • 16-01-2022

Answer:

y=1/2x-1

Step-by-step explanation:

To find the equation perpendicular to a line, take the opposite reciprocal of the slope.

y = -2x + 4

The slope that is perpendicular would be 1/2.

Now, use the point-slope equation to find the equation of the line that passes through the point, (4,1).

y-y1=m(x-x1)

y-1=1/2(x-4)

y-1=1/2x-2

y=1/2x-1

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