Question

HELP!! Co-ordinate Geometry~





The equation of the straight line which passes through the point(-4,3) such that the portion of the life between the axes is divided internally by the point in the ratio 5:3 is ?

Answer 1

is the diagram correct?

Answer 2

@Chlorophyll @hba

Answer 3

@hartnn

Answer 4

so, how would u use this information 'divided internally by the point in the ratio 5:3'

Answer 5

\[\LARGE 3=\frac{3y}{8} => y=8\]

Answer 6

similary..
\[\LARGE -4=\frac{5x}{8}=> x=-32/5\]

Answer 7

\[\LARGE m = \frac{8 \times 5}{-32} => \frac{-5}{4}\]

Answer 8

are u sure ?
its 3=3y/8 or 3=5y/8 ??

Answer 9

former

Answer 10

then u are correct.
so whats the equation?
u got slope, and points on the line...

Answer 11

\[\LARGE y-8=\frac{-5}{4}(x+\frac{32}{5}\]

Answer 12

no.! which point did u use ?

Answer 13

u have 3 points now
-4,3
0,8
-32/5,0
i suggest u use 0,8

Answer 14

y=mx+c
3=-5+c
c=8

y=-5/4x+c

Answer 15

yeah

Answer 16

\[\LARGE y= \frac{-5}{4x}+8\]

Answer 17

x in numerator^^

Answer 18

c is y-intercept, and u already found it as 8
as(8,0)
and yes.

Answer 19

\[4y+5x-8=0?\]

Answer 20

-8 or -32 ?

Answer 21

y-intercept

x=0

Answer 22

-32 sorry^^

Answer 23

then ok.

Answer 24

answer is wrong though :P

Answer 25

whats the answer ?

Answer 26

\[\LARGE 9x-20y+96=0 \]
/S

Answer 27

x:y=5:3

or

x:y=3:5

Answer 28

I remember doing this 2 years ago :(

Answer 29

where did we go wrong >.<

Answer 30

i don't even remember doing this a decade ago
:P

Answer 31

lol

Answer 32

well, did u try 5=3y/8 ?

Answer 33

3=5y/8

Answer 34

y=24/5 ?

Answer 35

x=-32/5

Answer 36

just try it...

Answer 37

m=-3/2

Answer 38

is your x correct ?

Answer 39

100%

Answer 40

coz i just got x=-32/3, don't know how

Answer 41

x=(m2x1+m1x2)/m1+m2

Answer 42

-4=-5x/8

Answer 43

+5x*

Answer 44

then 4y+5x−8=0 should be correct

Answer 45

but its not

Answer 46

i got that before too

Answer 47

i mean 4y+5x−32=0
u sseing the right answer ?

Answer 48

yes :/
lol i have options too

Answer 49

\[9x-20y+96=0\]
\[9x-20y=24\]
\[20x-9y+53=0\]
\[N/T\]

Answer 50

PERHAPS,we interpreted the question wrong?

Answer 51

i think that interpretation and diagram is correct.

Answer 52

well..

Answer 53

here is my attempt :
let the intercepts be a and b such that eqn is
x/a + y/b =1

hence we are given (-4,3) divides (a,0) and (0,b) in the ratio 5/3

=> -4 = 3a/8
a = -32/3

=>3 = 5b/8
b=24/5

then ans is x/(-32/3) + y/(24/5) =1

on simplification, am easily getting
9x -20y + 96 =0
o.O

Answer 54

lol o.o