Find distance between parallel lines y=x+3 and y=x-2

Question

asked Dec 16, 2019 55.8k views

1 Answer

Wosc · Answer 1 · 2019-12-20T11:33:58+0000

We were given the lines

y=x+3

and

The distance between the two parallel lines is given by the formula,

$d=\frac{\sqrt{m ^(2)+1 } }$

Where

b_1=3

, the y intercept of the first line

b_2=-2

, the y intercept of the second line

and

m=1

, the slope of the lines

$d=\frac{\sqrt{1 ^(2)+1 } }$

d=(|-5|)/(√(1 +1 ) )

Therefore the distance between the two lines is approximately 3.5 units to the nearest tenth