Answer
perpendicular
Work Step by Step
If two non-vertical and non-horizontal lines are parallel, then their slopes are equal.
If two non-vertical and non-horizontal lines are perpendicular, the product of their slopes is $-1$.
Here, for the first line:
$y=\frac{1}{2}x-3$
The slope, in this form of the equation, is equal to the coefficient of $x$.
Hence, the slope of this line $\frac{1}{2}$.
For the second line:
$y=-2x+4$
The slope of this line is $-2$.
Since $\frac{1}{2} \times -2=-1$, then the two lines are perpendicular.
