Answer
The point of intersection is $(-4,4)$
Work Step by Step
#$1$
First equation is $y=-\frac{1}{2}x+2$
Find the Slope and y-intercept to graph
$Slope=m=\frac{-1}{2}$
$y-intercept = b =2$
To graph this equation first mark a point $2$ on y-axis then go down $1$ unit and $2$ unit right from the point mark on y-axis. Keep repeating process until you intersect with other line.
#$2$
Second equation= $y=\frac{1}{2}x +6$
Find the Slope and y-intercept to graph
$Slope = m = \frac{1}{2}$
$y-intercept = b = 6$
To graph this equation first mark a point 6 on y-axis then go up 1 point and right 2 points from the mark point on y-axis keep repeating until you get a point of intersection.
