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

Question

asked Nov 3, 2023 43.8k views

1 Answer

Tracy Moody · Answer 1 · 2023-11-07T16:12:51+0000

Answer:

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