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2003 AMC 10B Problem 11

Problem 11 of 25IntermediateAlgebraGeometry

A line with slope 33 intersects a line with slope 55 at the point (10,15).(10, 15). What is the distance between the xx-intercepts of these two lines?

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Solution

The lines are y−15=3(x−10)y-15=3(x-10) and y−15=5(x−10).y-15=5(x-10). Setting y=0y=0 gives xx-intercepts x=5x=5 and x=7.x=7. The distance between (5,0)(5,0) and (7,0)(7,0) is 2.2. Thus, the correct answer is A.
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Tagged: coordinate geometry · slope · linear equation

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