sophiahope
sophiahope sophiahope
  • 04-01-2021
  • Mathematics
contestada

A line is perpendicular to y = 3x - 8
and intersects the point (2,2).
What is the equation of this
perpendicular line?

A line is perpendicular to y 3x 8 and intersects the point 22 What is the equation of this perpendicular line class=

Respuesta :

gcantiga44
gcantiga44 gcantiga44
  • 04-01-2021

Since the line is perpendicular, we know that the slope is reciprocal and negative to the other one.

So,

y = -4x + b

We want to find the y-intersect (b) so substitute the intersected points and solve for it.

2 = -4(2) + b

2 = -8 + b

2 + 8 = b

10 = b

So the complete equation would be:

y = -4x + 10

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