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Question 388185: Can you show me how to do this problem?
A pedestrian bridge is to be built over railroad tracks running through a town. The bridge will be perpendicular to the tracks and the middle of the bridge will be directly above the tracks. If the town is represented on a coordinate grid, the tracks are a straight line running through (1, -7) and (4, -1), with one end of the bridge at (-11, 4).
What are the coordinates of the other end of the bridge?
Answer by Fombitz(32388)   (Show Source):
You can put this solution on YOUR website! 
Find the slope of the line that represents the track.
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The equation of the line representing the track is,
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Perpendicular lines have slopes that are negative reciprocals.
Now use the slope intercept form of a line,
Use the point ( , ) to solve for  .
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Find the intersection point of the two lines which represents the center of the bridge.
Since both equations equal  , set them equal to each other to solve for  .
Then,
The middle of the bridge is ( , ).
The one end of the bridge is (,).
The other end is the same distance from the center but in the other direction.
The other end of the bridge would be,
(,)+( , )=( , )
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