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anonymous
 one year ago
find the distance from the line 4x+3y=5 to the point (6,9)
anonymous
 one year ago
find the distance from the line 4x+3y=5 to the point (6,9)

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0m=4/3 y9=4/3(x6) y9=4/3x+8 y=4/3x +17 (0, 5/3) and (6,9) d=s.rt (60)^2+(95/3)^2 =9.47511

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0The distance from a point P(x,o,yo) to a line ax+by+c = 0 is \[d=\frac{ \left ax _{o}+by _{o}+c \right }{ \sqrt{a^2+b^2} }\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[d=\frac{ \left 4(6)+3(9)5 \right }{ \sqrt{4^2+3^2} }\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0been a while since I've done this so please correct me if i'm wrong

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i got 9.2... but the hint say first find the line through the point (6,9) parallel to the given line, and then find the distance between these lines

welshfella
 one year ago
Best ResponseYou've already chosen the best response.2you made a slight error on the slope of the line perpendicular to the given line its slope is  1 / (4/3) = 3/4

welshfella
 one year ago
Best ResponseYou've already chosen the best response.2 oh the parallel line ! sorry

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so was it right or wrong?

welshfella
 one year ago
Best ResponseYou've already chosen the best response.2chrs00's method is correct and that comes to 9.2

welshfella
 one year ago
Best ResponseYou've already chosen the best response.2why did you use (0,5/3) on the original line?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i think he just used any point on that line. i think you need to use a point that is perpendicular to that line

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0distance=shortest distance

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0are u sure ..this question is structure different frm the previous set of questions that i did..they want .. to find distance frm the point (a,b) eg.(4,8) to the line y=sumthing eg 6x+8y=9 ... inwhich i used that formula provide by chrs00 but the question ask to find the distance frm the line given to the point given...

welshfella
 one year ago
Best ResponseYou've already chosen the best response.2Chris00 formula gives you just that

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0you were given a point that did not lie on that line

welshfella
 one year ago
Best ResponseYou've already chosen the best response.2another way to do it is to find the equation of the line perpendicular to the original line and passing through the point (6,9) then solving the 2 equations simultaneously to find the point of intersection. Then use the distance formula with this point and (6,9) But that's a bit longwinded.

welshfella
 one year ago
Best ResponseYou've already chosen the best response.2you can sketch it on the desmos web site

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0but i wouldnt get desmos to use in my test

welshfella
 one year ago
Best ResponseYou've already chosen the best response.2the 2 parallel lines will look something like dw:1444387746919:dw

welshfella
 one year ago
Best ResponseYou've already chosen the best response.2the line joining the point (0, 5/3) and (6,9) is not perpendicular to the 2 parallel lines. That is why you didn't get the right answer

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1444384572508:dw

welshfella
 one year ago
Best ResponseYou've already chosen the best response.2yea  did they give you that point (0. 5/3)?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i get that from the equation 4x+3y=5

welshfella
 one year ago
Best ResponseYou've already chosen the best response.2yes i see Well you cant take any old point . The line joining the point to (6,9) must be perpendicular ( shortest distance)

welshfella
 one year ago
Best ResponseYou've already chosen the best response.2the formula that chris00 used is the easiest way to do it. Finding the line perpendicular etc ( the way i mentined) is long and messy yw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0good luck in your studies
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