Section formula using graphical representation — lesson. Mathematics State Board, Class 9.

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Let us look at the graph carefully.

From the graph, the line

$AB$ is divided at

$P$ in the ratio

$m : n$ .

Therefore,

$\frac{AP}{AB} = \frac{m}{n}$ .

So,

$A'P' : P'B'$ is also

$m : n$ .

$\frac{A'P'}{A'B'} = \frac{m}{n}$

$n(A'P') =$

$m(A'B')$

$n(x - x_1) =$

$m(x_2 - x)$

$nx - nx_1 = mx_2 - mx$

$mx + nx = mx_2 + nx_1$

$x$

$=$

$\frac{mx_2 + nx_1}{m + n}$

Similarly,

$y$

$=$

$\frac{my_2 + ny_1}{m + n}$ .

Did you find an error?

2. Section formula using graphical representation