Answer
parallel
Work Step by Step
$x+2y=11$
$x+2y-x=11-x$
$2y\div2=(-x+11)\div2$
$y=-\underset\uparrow{\frac{1}{2}}x+\frac{11}{2}$
$\ \ \ \ \ \ \ \ \ \ $slope
$2x+4y=-5$
$2x+4y-2x=-5-2x$
$4y\div4=(-2x-5)\div4$
$y=-\frac{2}{4}x-\frac{5}{4}$
$y=-\underset\uparrow{\frac{1}{2}}x-\frac{5}{4}$
$\ \ \ \ \ \ \ \ \ \ $slope
The slope of each equation is $-\frac{1}{2}$ so the lines are parallel.
