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

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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
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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