Answer:
PQ= 10
Explanation:
To find intersection of the line ,put y=0 in the equation,cuz points on x axis have ordinate equals to '0'
you have, y=2x+8 ; put y =0,to find it's intersection to x-axis
i.e, 0=2x+8
i.e, 2x= -8
i.e, x= -8/2
i.e, x= -4
Point P is (-4,0)
again, you have y=2x-12, put y=0
i.e,0= 2x-12
i.e, 2x=12
i.e, x=6
Point Q is (6,0)
now distance PQ is
√(6-(-4))^2 +(0-0)^2
i.e, √(10)^2
i.e, 10
distance btwn PQ is 10 unit!
✌️:)