SOLUTION: Find the distance to two decimal places between the two lines whose equations are y=4x+5 y=4x-1 (Hint: Use a transversal which passes through the origin)

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Question 179847: Find the distance to two decimal places between the two lines whose equations are y=4x+5
y=4x-1
(Hint: Use a transversal which passes through the origin)
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C4x%2B5%2C4x-1%29
:
find the x intercepts:
:
those are found by setting y = 0
:
0=4x+5--->4x=-5--->x=-5/4
0=4x-1--->4x=1---->x=1/4
:
so we have one point from each equation on the transversal which is the y axis
:
(-5/4,0) and (1/4,0)
:
d=sqrt%28%28-5%2F4-1%2F4%29%5E2%2B%280-0%29%29
:
d=sqrt%28%28-3%2F2%29%5E2%29
:
d=sqrt%289%2F4%29
:
highlight%28d=3%2F2%29