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Equation of L

Source: AHSME 1963 Problem 33

January 11, 2014
analytic geometrygraphing linessloperatioAMC

Problem Statement

Given the line y=34x+6y = \dfrac{3}{4}x + 6 and a line LL parallel to the given line and 44 units from it. A possible equation for LL is:
<spanclass=′latex−bold′>(A)</span> y=34x+1<spanclass=′latex−bold′>(B)</span> y=34x<spanclass=′latex−bold′>(C)</span> y=34x−23<span class='latex-bold'>(A)</span>\ y = \dfrac{3}{4}x + 1 \qquad <span class='latex-bold'>(B)</span>\ y = \dfrac{3}{4}x\qquad <span class='latex-bold'>(C)</span>\ y = \dfrac{3}{4}x -\dfrac{2}{3} \qquad
<spanclass=′latex−bold′>(D)</span> y=34x−1<spanclass=′latex−bold′>(E)</span> y=34x+2 <span class='latex-bold'>(D)</span>\ y = \dfrac{3}{4}x -1 \qquad <span class='latex-bold'>(E)</span>\ y = \dfrac{3}{4}x + 2
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