SOLUTION: Find the distance from point A to the given line A(15,-21), 5x+2y=4 And if you can could you please show me how you solved it

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Question 1067344: Find the distance from point A to the given line
A(15,-21), 5x+2y=4
And if you can could you please show me how you solved it
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
The slope of your GIVEN line is -5%2F2.
The slope of the line you want to find must have slope 2%2F5.

WHY? The two lines intersect at some point which you will find. Then use Distance formula to find the length from the intersection point to point A(15,-21). You are first looking for the line perpendicular to the given one which contains point A.

Line you want:
y-%28-21%29=%282%2F5%29%28x-15%29, using point-slope form
y%2B21=%282%2F5%29x-6
highlight_green%28y=%282%2F5%29x-27%29


Now find intersection point of 5x%2B2y=4 and y=%282%2F5%29x-27.
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Can you finish this?