getloozejuju23 getloozejuju23
  • 23-08-2022
  • Mathematics
contestada

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

Respuesta :

jacksonpolluckseasel
jacksonpolluckseasel jacksonpolluckseasel
  • 23-08-2022

Answer:

y = -x + 4

Step-by-step explanation:

To find the slope of a perpendicular line, it is the negative reciprocal of the original function.

So, for this function, the negative reciprocal is -1

then, in order to find the function, you plug the numbers into the point-slope form [tex]y-y_1=m(x-x_1)[/tex]

[tex]y-2=-1(x-2)\\y-2=-x+2\\y=-x+4[/tex]

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