Answer
Parallel
Work Step by Step
We are given two equations of lines. We can transform these equations into the form $y=mx+b$, where m is the slope of the line and the point (0,b) is the y-intercept.
$-4x+2y=5$
Add 4x to both sides.
$2y=4x+5$
Divide both sides by 2.
$y=2x+\frac{5}{2}$
Next, $2x-y=7$
Subtract 2x from both sides.
$-y=-2x+7$
Divide both sides by -1.
$y=2x-7$
These lines have the same value for m ($m=2$), so we know that they have the same slope. However, the first line has a b-value of $\frac{5}{2}$ and the second has a b-value of -7, so they must have different y-intercepts. Therefore, these lines are parallel.