SOLUTION: a line from the origin meets another line 2x-4y-16=0 at an angle of 90 degrees . find the equation of the line if it is 4cm away from the given line and makes an angle of 60 degree

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Question 1061888: a line from the origin meets another line 2x-4y-16=0 at an angle of 90 degrees . find the equation of the line if it is 4cm away from the given line and makes an angle of 60 degrees with the x-axis
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Just this much description should be enough without the other included descrptive part: a line from the origin meets another line 2x-4y-16=0 at an angle of 90 degrees .
Question is to find the equation of that line containing (0,0) and perpendicular to the given line.


2x-4y-16=0
x-2y-8=0
-2y=-x%2B8
y=x%2F2%2B4
Slope of given line is 1%2F2.


"meets at an angle of 90 degrees" means that the line you look for has slope of -2, negative reciprocal of the given line.

Review what you know:
Line you want contains (0,0) and has slope -2.

Using point-slope form of equation,
y-0=-2%28x-0%29
highlight%28y=-2x%29--------this is the line your first sentence DESCRIBES. You can check to see how well this satisfies the other specifications.