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Find the x-coordinate

Source: 1971 AHSME Problem 3

April 17, 2014
analytic geometrygraphing linesslopeAMC

Problem Statement

If the point (x,−4)(x,-4) lies on the straight line joining the points (0,8)(0,8) and (−4,0)(-4,0) in the xy-plane, then xx is equal to
<spanclass=′latex−bold′>(A)</span>−2<spanclass=′latex−bold′>(B)</span>2<spanclass=′latex−bold′>(C)</span>−8<spanclass=′latex−bold′>(D)</span>6<spanclass=′latex−bold′>(E)</span>−6<span class='latex-bold'>(A) </span>-2\qquad<span class='latex-bold'>(B) </span>2\qquad<span class='latex-bold'>(C) </span>-8\qquad<span class='latex-bold'>(D) </span>6\qquad <span class='latex-bold'>(E) </span>-6
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