Question

Find the distance between the parallel lines y=2x+1 and 2y=4x-3

Answer 1

Explanation:

`y=2x+1`

`2y=4x-3\rightarrow y=2x-(3)/(2)`

`d=(|1-(-(3)/(2) )|)/(√(1+2^2) )`

`=(((5)/(2) ))/(√(5) )`

`=(5)/(2√(5) )`

`=(5)/(2√(5) )* (√(5))/(√(5) )` (this is to rationalize the denominator...tidies it up.)

`=(5√(5) )/(2*5 )`

`=(√(5) )/(2 )`