A B
P
Mm:n
Eg. : Graph of 2x + 3y = 7
- Distance formula
In the rectangular coordinate system, the distance between any two points A(x 1 ,y 1 )
and B(x 2 ,y 2 ) is given by,
AB = ()( )x 1 - x 22 + y 1 −y 2 2
The idea can be taught with linear presentation of the equation alongwith the embossed
rectangular coordinate system for additional input.
- Section formula
Consider the line AB whose coordinates are A(x 1 ,y 1 ) and B(x 1 ,y 1 ). Let “P” be a point
which divides the given line in the ratio m:n. Then the coordinates of the point which
divides the line segment AB can be found.
Y
X
Y|
O
A (x, 11 y)
B (x, 22 y)
3 - 2 - (^1) - 11
1
2
2
3
3
2
3
(^2) x (^) +
(^3) y (^) =
7