SOLUTION: On a graph 3x-5y=10 find the distance between the graphed slope and the point P(12,6) which is perpendicular to the slope when a line is drawn from point P to the slope. So in esse

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Question 1060097: On a graph 3x-5y=10 find the distance between the graphed slope and the point P(12,6) which is perpendicular to the slope when a line is drawn from point P to the slope. So in essence, I'm looking for the distance from P to the line of 3x-5y=10. Thank you very much
Answer by josgarithmetic(39618)   (Show Source): You can put this solution on YOUR website!
The perpendicular distance between line 3x-5y=10 and point P (12,6)

Given line has slope .
Line perpendicular to given line and containing P is of equation .

Where do these two lines meet?
Find intersection of:
-




-



-
Equating expressions for y,







Use x to evaluate y,



-
Intersection Point, (45,61).


FIND DISTANCE BETWEEN (45, 61) and (12,6).




4049 is a prime number.

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