SOLUTION: Find the shortest distance from (2,1) to the line 3x+4y=24

Question 905667: Find the shortest distance from (2,1) to the line 3x+4y=24
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Imagine the line perpendicular to 3x+4y=24 and containing the point (2,1). The two lines intersect
at some point; and the distance between this point and (2,1) will be the distance which answers
your question.

Form the line equation .

.
, the perpendicular line found.
Keep the equation in this form for ease in some use of Elimination Method.

-
Intersection point on 3x+4y=24 is (92/25,81/25).

Distance Asked :

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