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karatechopper
Group Title
How to find distance between two lines...
y=3x
y=3x+10
 2 years ago
 2 years ago
karatechopper Group Title
How to find distance between two lines... y=3x y=3x+10
 2 years ago
 2 years ago

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zonazoo Group TitleBest ResponseYou've already chosen the best response.0
the vertical distance, or horizontal distance or what?
 2 years ago

karatechopper Group TitleBest ResponseYou've already chosen the best response.0
dw:1350957364620:dw
 2 years ago

zonazoo Group TitleBest ResponseYou've already chosen the best response.0
that perpendicular line between the two is the distance you want?
 2 years ago

asnaseer Group TitleBest ResponseYou've already chosen the best response.0
Work out the equation of the perpendicular line. To make t easy, work out the equation of the line that is perpendicular to y=3x and passes through (0,0). Then find the intersection point of this perpendicular line and the other line (y=3x + 10). Then use distance formula.
 2 years ago

asnaseer Group TitleBest ResponseYou've already chosen the best response.0
Hope that makes sense?
 2 years ago

zonazoo Group TitleBest ResponseYou've already chosen the best response.0
yeah, thats what i would do
 2 years ago

karatechopper Group TitleBest ResponseYou've already chosen the best response.0
I am very confused papa. Things are not going well in my house. So can you restart from baby steps? And walk me through the perpendicular lines?
 2 years ago

asnaseer Group TitleBest ResponseYou've already chosen the best response.0
ok, step 1  do you know the relationship of the slopes of two lines that are perpendicular to one another?
 2 years ago

karatechopper Group TitleBest ResponseYou've already chosen the best response.0
I know that the perpendicular slope is the opposite reciprocal of the slope.
 2 years ago

asnaseer Group TitleBest ResponseYou've already chosen the best response.0
almost  the product of the slopes of two perpendicular lines is always 1.
 2 years ago

asnaseer Group TitleBest ResponseYou've already chosen the best response.0
so  what would be the slope of the line that is perpendicular to y=3x?
 2 years ago

karatechopper Group TitleBest ResponseYou've already chosen the best response.0
1/3x
 2 years ago

asnaseer Group TitleBest ResponseYou've already chosen the best response.0
perfect  slope would be 1/3, and its equation would be of the form: y = (1/3)x + c where c is the yintercept
 2 years ago

karatechopper Group TitleBest ResponseYou've already chosen the best response.0
Correct. I got that part.
 2 years ago

asnaseer Group TitleBest ResponseYou've already chosen the best response.0
good, now if we take this perpendicular line such that it passes through the origin, then what would be the value for c?
 2 years ago

asnaseer Group TitleBest ResponseYou've already chosen the best response.0
remember we have: y = (1/3)x + c and we know y=0 when x=0, therefore c=?
 2 years ago

asnaseer Group TitleBest ResponseYou've already chosen the best response.0
are you stuck?
 2 years ago

karatechopper Group TitleBest ResponseYou've already chosen the best response.0
yes..
 2 years ago

asnaseer Group TitleBest ResponseYou've already chosen the best response.0
yes  correct
 2 years ago

asnaseer Group TitleBest ResponseYou've already chosen the best response.0
so now we know that the line perpendicular to y=3x and that passes through the origin has the equation: y = (1/3)x
 2 years ago

karatechopper Group TitleBest ResponseYou've already chosen the best response.0
Ok, so i drew that line in on my graph..
 2 years ago

karatechopper Group TitleBest ResponseYou've already chosen the best response.0
dw:1350958743362:dw
 2 years ago

asnaseer Group TitleBest ResponseYou've already chosen the best response.0
dw:1350951532761:dw
 2 years ago

karatechopper Group TitleBest ResponseYou've already chosen the best response.0
Yea! That!
 2 years ago

asnaseer Group TitleBest ResponseYou've already chosen the best response.0
so next you want to find the point of intersection of: y = (1/3)x and: y = 3x + 10
 2 years ago

karatechopper Group TitleBest ResponseYou've already chosen the best response.0
Oh ok !
 2 years ago

karatechopper Group TitleBest ResponseYou've already chosen the best response.0
How do i do that...
 2 years ago

asnaseer Group TitleBest ResponseYou've already chosen the best response.0
can you find the point of intersection of these two lines?
 2 years ago

asnaseer Group TitleBest ResponseYou've already chosen the best response.0
just substitue y=(1/3)x from 1st equation into 2nd equation and solve for x.
 2 years ago

asnaseer Group TitleBest ResponseYou've already chosen the best response.0
then use 1st equation to find the y value once you have the x value
 2 years ago

karatechopper Group TitleBest ResponseYou've already chosen the best response.0
Ah ok!
 2 years ago

karatechopper Group TitleBest ResponseYou've already chosen the best response.0
So like....the answer would be for x=3?
 2 years ago

asnaseer Group TitleBest ResponseYou've already chosen the best response.0
make sure you have the correct sign  does it look like x would be positive here?
 2 years ago

karatechopper Group TitleBest ResponseYou've already chosen the best response.0
aahhhh!!! negative negative!!
 2 years ago

asnaseer Group TitleBest ResponseYou've already chosen the best response.0
now find y value
 2 years ago

asnaseer Group TitleBest ResponseYou've already chosen the best response.0
use the first equation for that, i.e. y = (1/3)x to find y. remember you just found x=3
 2 years ago

karatechopper Group TitleBest ResponseYou've already chosen the best response.0
Oh i know i am working it out!!!
 2 years ago

asnaseer Group TitleBest ResponseYou've already chosen the best response.0
x=3, therefore:\[y=\frac{1}{3}\times x=\frac{1}{3}\times (3) = ?\]
 2 years ago

karatechopper Group TitleBest ResponseYou've already chosen the best response.0
Oh ok i was using a dif equation.
 2 years ago

asnaseer Group TitleBest ResponseYou've already chosen the best response.0
please be more careful in your calculations  try again...
 2 years ago

karatechopper Group TitleBest ResponseYou've already chosen the best response.0
gAAAA
 2 years ago

karatechopper Group TitleBest ResponseYou've already chosen the best response.0
Ohhhhhhhh y=1
 2 years ago

asnaseer Group TitleBest ResponseYou've already chosen the best response.0
good. so now you know the point of intersection is (3, 1): dw:1350952783534:dw
 2 years ago

asnaseer Group TitleBest ResponseYou've already chosen the best response.0
so just use the distance formula to find the distance between (3,1) and (0,0). That will be the distance between these two lines.
 2 years ago

karatechopper Group TitleBest ResponseYou've already chosen the best response.0
Alright thanks!
 2 years ago

karatechopper Group TitleBest ResponseYou've already chosen the best response.0
Now SLEEP! I am ordering my papa to sleep:)
 2 years ago
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