Answer
The solution is $(-4,4)$
Work Step by Step
$1$.
First equation $y=-{\dfrac{1}{2}}x+2$.The slope is $m=-{\dfrac{1}{2}}$ and the y-intercept is $b=2$.Graph the first equation on a graph (blue line)
$2.$
The second equation is $y={\frac{1}{2}}x+6$.The slope is $m={\frac{1}{2}}$ and the y-intercept is $b=6$.Graph the second equation (red line)
$3.$
The two equations intersect at $(-4,4)$ so that's the solution.
