SOLUTION: Foot of perpendicular drawn from pt. (2,3) to line x+y=11 is:

Question 988954: Foot of perpendicular drawn from pt. (2,3) to line x+y=11 is:
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
Is this a question of the distance between the point and the line?

Given line , and a line perpendicular to it would have slope , which is negative reciprocal of .

Now, what is the equation for the line of slope -1 which goes through the given point (2,3)?

FIND INTERSECTION POINT OF .
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Equating the two formulas for y,

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Intersection point is (5,6).

DISTANCE FROM (5,6) TO (2,3):
Plug the values into the Distance Formula and evaluate or compute.

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