MathDB
Equation of a Line

Source: 1968 AHSME Problem #3

August 31, 2011
analytic geometrygraphing linesslopeAMC

Problem Statement

A straight line passing through the point (0,4)(0,4) is perpendicular to the line x3y7=0x-3y-7=0. Its equation is:
<spanclass=latexbold>(A)</span> y+3x4=0<spanclass=latexbold>(B)</span> y+3x+4=0<spanclass=latexbold>(C)</span> y3x4=0<spanclass=latexbold>(D)</span> 3y+x12=0<spanclass=latexbold>(E)</span> 3yx12=0<span class='latex-bold'>(A)</span>\ y+3x-4=0 \qquad <span class='latex-bold'>(B)</span>\ y+3x+4=0 \qquad <span class='latex-bold'>(C)</span>\ y-3x-4=0 \qquad\\ <span class='latex-bold'>(D)</span>\ 3y+x-12=0 \qquad <span class='latex-bold'>(E)</span>\ 3y-x-12=0