Question

Find the distance between each pair of parallel lines with the guven equation y=2x+7 y=2x-3

Answer 1

10

Explanation:

The y-intercept for each line is...

y=2x+7 (0, 7)

y=2x-3 (0, -3)

Note this is because...

y=mx+b

b represents the y-intercept

Using the distance formula...

`d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2`

`d=\sqrt{(0-0)^2+(7-(-3))^2`

`d=\sqrt{0+(10)^2`

`d=√(0+100)`

`d=√(100)`

`d=10`