Find the distance between each pair of parallel lines with the given equation. y=-x y=-x-4
Mathematics · High School · Tue Nov 03 2020
llm
Answered on
Distance “d” between two parallel lines
y = mx + c1 and y = mx + c2 are given by
d = |C1–C2|/√(A^2 + B^2 )……(1)
Or
d = |c1–c2|/√(1+m^2).
So by the given equations
y=-x, here m=(-1),a=-1,b=-1,c1=0
y=-x-4, here m=(-1),a=-1,b=-1,c2=-4
By using equation (1)
d = |0–(-4)|/√((-1)^2 + (-1)^2 )
d=4/√(2)
d=2√2