Distance between parallel lines y=3x+10 and y=3x-20

1. Take an arbitrary point that lies on the first line y=3x+10. Let x=0, then y=10 and point has coordinates (0,10).

2. Use formula to find the distance from point to the line Ax+By+C=0.

.

3. Since lines y=3x+10 and y=3x-20 are parallel, then the distance between these lines are the same as the distance from an arbitrary point from the first line to the second line.

.

let m = monomial

let t = trinomial

so, m times t = t.

monomial times a trinomial = another trinomial.