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Intersecting Lines

Source: 2018 AMC 12B #3

February 16, 2018
analytic geometrygraphing linesslopeAMCAMC 12AMC 12 B

Problem Statement

A line with slope 22 intersects a line with slope 66 at the point (40,30)(40, 30). What is the distance between the xx-intercepts of these two lines?
<spanclass=′latex−bold′>(A)</span>5<spanclass=′latex−bold′>(B)</span>10<spanclass=′latex−bold′>(C)</span>20<spanclass=′latex−bold′>(D)</span>25<spanclass=′latex−bold′>(E)</span>50<span class='latex-bold'>(A) </span>5\qquad<span class='latex-bold'>(B) </span>10\qquad<span class='latex-bold'>(C) </span>20\qquad<span class='latex-bold'>(D) </span>25\qquad<span class='latex-bold'>(E) </span>50
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