# Straight lines

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#1
Find the shortest distance between two parallel lines y=2x+4 and y=2x-3

Can someone help me with this please
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3 weeks ago
#2
Find the shortest distance between two parallel lines y=2x+4 and y=2x-3

Can someone help me with this please
if they're parallel - they're a constant distance apart all the way along, so the question probably wants the perpendicular distance between them
Last edited by davros; 3 weeks ago
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#3
(Original post by davros)
Well if they're parallel there isn't really a shortest distance - they're the same distance apart all the way along! Can you draw the lines to see what's going on?
Well the question doesn't give you a diagram, you only need to find the distance between them. Do have any Idea how to find them.
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3 weeks ago
#4
Well the question doesn't give you a diagram, you only need to find the distance between them. Do have any Idea how to find them.
OK I've edited my response as I was being a bit dumb - they probably want the perpendicular distance between the lines.

I would still suggest a drawing would help
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3 weeks ago
#5
Is that the correct wording of the question?
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#6
(Original post by GabiAbi84)
Is that the correct wording of the question?
Yes
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#7
I did that but I don't know where to start
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3 weeks ago
#8
The distance will be perpendicular to the two lines.
You could form a perpendicular line which passes through a point in line 1 and find where it intersects with line 2. The distance between these two points is what you want.

Or you could use trig if you draw the right diagram, or represent the lines in normal form and subtract the distances or....
Last edited by mqb2766; 3 weeks ago
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#9
(Original post by mqb2766)
The distance will be perpendicular to the two lines.
You could form a perpendicular line which passes through a point in line 1 and find where it intersects with line 2. The distance between these two points is what you want.

Or you could use trig if you draw the right diagram, or represent the lines in normal form and subtract the distances or....
Thank you for the help, Done it.
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