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.
$-8x+20y=7$
Add 8x to both sides.
$20y=8x+7$
Divide both sides by 20.
$y=\frac{2}{5}x+\frac{7}{20}$
Next, $2x-5y=0$
Subtract 2x from both sides.
$-5y=-2x$
Divide both sides by -5.
$y=\frac{2}{5}x=\frac{2}{5}x+0$
These lines have the same value for m ($m=\frac{2}{5}$), so we know that they have the same slope. However, the first line has a b-value of $\frac{7}{20}$ and the second has a b-value of 0, so they must have different y-intercepts. Therefore, these lines are parallel.