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

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Question 813914: From the point P(-2,4),if PQ is drawn perpendicular to the line 7x-24y+10=0,find the equation of the line PQ. Also determine the length of PQ?
Answer by josgarithmetic(39621) (Show Source):
You can put this solution on YOUR website!
Solve the equation for y;
adjust into slope intercept form;
form the general slope-intercept form equation and solve for b.
Substitute point P and new slope of into this formula for b and compute b.
Replace the needed slope and value of b into the general slope-intercept equation to express your desired linear equation.

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A Reminder: y=mx+b is slope-intercept form for a line. A line perpendicular to it will need a slope of .
You could say, for perpendicular equations y=mx+b and y=Mx+c, that .