SOLUTION: Alice walks along a road which can be modeled by the equation y=6x, where (0,0) represents her starting point. When she reaches a certain point A, she turns right, so that she is t

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Question 1166018: Alice walks along a road which can be modeled by the equation y=6x, where (0,0) represents her starting point. When she reaches a certain point A, she turns right, so that she is traveling perpendicular to the original road, until she stops at the point (333,0).
What was the point A where Alice turned?
Answer by greenestamps(13203) About Me  (Show Source):
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The line she starts walking on has a slope of 6, so the line perpendicular to it has a slope of -1/6.

The point where she turns is (a,6a); the point where she stops is (333,0). The slope determined by those two points is -1/6:

%280-6a%29%2F%28333-a%29+=+-1%2F6
-36a+=+-333%2Ba
333+=+37a
a+=+9

ANSWER: The point where she turned was (a,6a) = (9,54).