SOLUTION: Find the distance between the lines with the following equations. 3x-y+4=0 and 3x-y=0

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Question 78389: Find the distance between the lines with the following equations.
3x-y+4=0 and 3x-y=0


Answer by dolly(163) About Me  (Show Source):
You can put this solution on YOUR website!
One way of finding the distance is to choose points on one line and find the distance between that point and the other line
Choose (1,3) on the second line.
The distance between (1,3) and the line 3x-y+4 = 0 is
= [3(1)-3+4]/sqrt(3^2 + 1^2)
= 4/sqrt(10)

Thus the two lines are 4/sqrt(10) units apart.