## Algebra: A Combined Approach (4th Edition)

$y=4x+\frac{1}{2}$ $4x+2y=1$ $2y=-4x+1$ $y=-2x+\frac{1}{2}$ The coefficients of $x$ for both equations are not the same, so the slopes are different. This means this pair of lines is not parallel. For a pair of lines to be perpendicular to each other, the slope of one equation must be the negative reciprocal of the other. $4$ and $-2$ are not negative reciprocals of each other. This means this parallel is not perpendicular either.