SOLUTION: Determine the vertical distance, the horizontal distance, and the shortest distance between the following pair of parallel lines. Round distance to the nearest hundredth, if necess

Question 457829: Determine the vertical distance, the horizontal distance, and the shortest distance between the following pair of parallel lines. Round distance to the nearest hundredth, if necessary. Q1) 3x+2y=6 and 3x+2y=0
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Determine the vertical distance, the horizontal distance, and the shortest distance between the following pair of parallel lines. Round distance to the nearest hundredth, if necessary. Q1) 3x+2y=6 and 3x+2y=0
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Find the y-ints to get the y distance
3x+2y=6 --> y-int = 3
3x+2y=0 --> y-int = 0
y distance = 3
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Solve for x to get the x distance
3x+2y=6 --> x-int = 2
3x+2y=0 --> x-int = 0
x distance = 2
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shortest distance between 2 lines
= x*y/sqrt(x^2 + y^2)
= 2*3/sqrt(13)
= 6sqrt(13)/13
=~ 1.6641
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