SOLUTION: From the point p(-2,4),if PQ is drawn perpendicular to the line 7x-24y+10=0,find the equation of line PQ and its length.

Question 989992: From the point p(-2,4),if PQ is drawn perpendicular to the line 7x-24y+10=0,find the equation of line PQ and its length.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Write given equation in slope-intercept form

-------------------------
Any line perpendicular to this line will
have slope =
-----------------------------
given: P( -2,4)
Use the general point-slope formula:

answer
------------------------------
Solve the equations to find their intersection:

------------------------

and

----------------------
This is very tough- solve for x and y which
gives you the point on the given line
Now you have 2 points P and Q on the perpendicular line
Use the length equation:

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