Question

What is the distance between parallel lines y=x+3 and y=x+1, rounded to the nearest hundredth?\

Answer 1

The distance between two parallel lines  y=x+3 and y=x+1 will be equal to

$d=\dfrac{1}{\sqrt{2}}$

What is parallel lines?

The lines which do not intersect to each other and only intersect at infinity are called parallel lines.

Here we have two lines:-

y=x+3

y=x+1

The formula for the distance between two parallel lines is given by:-

$d=\dfrac{|C_1-C_2|}{\sqrt{a^2+b^2}}$

We have C1=3 C2=1 a=1 b=1 by putting the value in the formula we will get:-

$d=\dfrac{3-2}{\sqrt{1^2+1^2}}=\dfrac{1}{\sqrt{2}}$

Hence distance between two parallel lines  y=x+3 and y=x+1 will be equal to  $d=\dfrac{1}{\sqrt{2}}$

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