MathDB
Easy slope problem

Source:

October 26, 2005
analytic geometrygraphing linesslope

Problem Statement

If the line LL in the xyxy-plane has half the slope and twice the y-intercept of the line y=23x+4y = \frac{2}{3} x + 4, then an equation for LL is:
<spanclass=latexbold>(A)</span> y=13x+8<spanclass=latexbold>(B)</span> y=43x+2<spanclass=latexbold>(C)</span> y=13x+4<spanclass=latexbold>(D)</span> y=43x+4<spanclass=latexbold>(E)</span> y=13x+2 <span class='latex-bold'>(A)</span>\ y = \frac{1}{3} x + 8 \qquad <span class='latex-bold'>(B)</span>\ y = \frac{4}{3} x + 2 \qquad <span class='latex-bold'>(C)</span>\ y = \frac{1}{3} x + 4 \qquad\\ <span class='latex-bold'>(D)</span>\ y = \frac{4}{3} x + 4 \qquad <span class='latex-bold'>(E)</span>\ y = \frac{1}{3} x + 2