Question

Find the distance between the two parallel lines:
Line x+y=1
Line x+y=5

Answer 1

4units

Answer 2

How did you to arrive at that?

Answer 3

y=-x+1
y=-x+5
Since they are same slope, we know that they are parellel

Answer 4

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Answer 5

Parallel means distance is the same everywhere

Answer 6

So we may use any point on either line to calculate distance.
Let use x=0 on both
Plugging in 0 for x
y=1
y=5

as you can see the difference is 4

Answer 7

the distance between the lines is the length of the perp that connects the,

Answer 8

measuring a diagonal doesnt tell us a thing except for that diagonally they can be any distance apart lol

Answer 9

x+y=1; modyfy one of the equations to get the perp equation

x-y = n; now calibrate it with one of the y intercepts since we know those are on either line

Answer 10

Lol....now i'm confused...but thanks all..i'll continure to work at it n see how it goes

Answer 11

continue*

Answer 12

(0,1) is as good a point as any

x-y = n; at (0,1) = 0-1 = -1

the equation for the perp is then x-y = -1

use this equation to find the solution to the perp and the 'other' parallel line

Answer 13

x+y = 5
x -y =-1
-------
2x = 4; when x=2

x+y = 5; when x=2, y=3

(0,1) and (2,5) are 2 points, one on each line, that are perpedicularlly across from each other

Answer 14

subtract one point from the other and add them together then sqrt them :)

Answer 15

this make any sense to ya?

Answer 16

I was wondering if it was simultaneous from the start! lol...n yeah it makes alot of sense now...Thanks! :)

Answer 17

i get x=2 apart; y=4 apart

sqrt(2^2 + 4^2) = sqrt(20) = 2sqrt(5) if I did it right ;)

Answer 18

k i'm workin out now..let me check

Answer 19

oh i jus see what you had...it's x+y=1 ..so i'll work out from there

Answer 20

ugh, i read 3 as a 5; but the concept the same even tho the numbers are typoed lol