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

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anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0the vertical distance, or horizontal distance or what?

karatechopper
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1350957364620:dw

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0that perpendicular line between the two is the distance you want?

asnaseer
 3 years ago
Best ResponseYou've already chosen the best response.0Work 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.

asnaseer
 3 years ago
Best ResponseYou've already chosen the best response.0Hope that makes sense?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0yeah, thats what i would do

karatechopper
 3 years ago
Best ResponseYou've already chosen the best response.0I 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?

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

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

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

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

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

karatechopper
 3 years ago
Best ResponseYou've already chosen the best response.0Correct. I got that part.

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

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

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

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

karatechopper
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1350958743362:dw

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

karatechopper
 3 years ago
Best ResponseYou've already chosen the best response.0How do i do that...

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

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

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

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

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

karatechopper
 3 years ago
Best ResponseYou've already chosen the best response.0aahhhh!!! negative negative!!

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

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

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

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

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

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

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

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