Answer
Perpendicular
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.
$2x-y=-10$
Subtract 2x from both sides.
$-y=-2x-10$
Divide both sides by -1.
$y=2x+10$
Next, $2x+4y=2$
Subtract 2x from both sides.
$4y=−2x+2$
Divide both sides by 4.
$y=-\frac{1}{2}x+\frac{1}{2}$
These lines have a different value for m, so they cannot be parallel, as they do not have the same slope. Two lines are perpendicular if the product of their slopes is equal to -1.
$2\times-\frac{1}{2}=-1$
Therefore, these lines are perpendicular.