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y=x The point F is the foot of the perpendicular from the point (1, 9) to the line y=x. Find the coordinates of F.​

Respuesta :

Medunno13

Answer: (5,5)

Step-by-step explanation:

The perpendicular to y=x has slope -1, and thus the equation of the perpendicular from (1,9) is [tex]y=-x+10[/tex].

Finding the point where they intersect, since both equations are set equal to y, we know that -x+10=x, and thus x=5.

If x=5, then y=5 as well.

So, F has coordinates (5,5).