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Coordinate Geometry

Not sure where to start with this question. Need some help to point me in the right direction.

The line AB meets the line 3x+2y-21 = 0 at M. Find the coordinates of M and show that M devides AB in the ratio 2:1.

So far I've changed the equation to 2y = -3x+21
(edited 10 years ago)
Reply 1
Avatar for TenOfThem
TenOfThem
18
Original post by PeaceTreaty
Not sure where to start with this question. Need some help to point me in the right direction.

The line AB meets the line 3x+2y-21 = 0 at M. Find the coordinates of M and show that M devides AB in the ratio 2:1.


I presume there was more to the question
Reply 2
Avatar for PeaceTreaty
PeaceTreaty
OP
8
Original post by TenOfThem
I presume there was more to the question


Sorry, left out part a: A(-3,2) B(6,8) I worked out it's equation is y = 2/3x+4.
Reply 3
Avatar for TenOfThem
TenOfThem
18
Original post by PeaceTreaty
Sorry, left out part a: A(-3,2) B(6,8) I worked out it's equation is y = 2/3x+4.


So, you know what y is

Substitue that into the curve equation
Reply 4
Avatar for PeaceTreaty
PeaceTreaty
OP
8
Original post by TenOfThem
So, you know what y is

Substitue that into the curve equation


So 2(2/3x+4) = -3x+21

Do I need to put in a value for x or just ignore it?
Reply 5
Avatar for PeaceTreaty
PeaceTreaty
OP
8
Original post by TenOfThem
So, you know what y is<br />
<br />
Substitue that into the curve equation
<br />
<br />

Original post by PeaceTreaty
So 2(2/3x+4) = -3x+21<br />
<br />
Do I need to put in a value for x or just ignore it?
<br />
<br />

Nvm thanks for the help.

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