ANSWER
|PQ|=10
EXPLANATION
The first line is
y=2x+8
We put y=0 to find the x-intercept.
0=2x+8
-2x=8
x=-4
(-4,0) are the coordinates of P.
The second equation is
y=2x-12
To find the x-intercept, we put x=0 into the formula:
0=2x-12
-2x=-12
x=6
The coordinates of Q are (0,6).
The distance between these two points.
|PQ|=|6--4|=10