Question

Find the point on the line joining (0,4)and (2,0) that divides the line in 2:3

Answer 1

${\bold{\huge{\textbf{\red{Solution}}}}}$

given:

(x1,y1)= (0,4)

(x2,y2)= (2,0)

m1,m2 =2,3 respectively.

${\bold{\textbf{\purple{formula:}}}}$

${\bold{\frac{x_1×m_2+x_2×m_1}{m_1+m_2}}}$

${\bold{\frac{y_1×m_2+y_2×m_1}{m_1+m_2}}}$

Putting values in formula:

for x:

${\rightarrow{\frac{0×2+2×3}{2+3}}}$

${\rightarrow{\red{\boxed{\frac{6}{5}}}}}$

now for y:

${\rightarrow{\frac{4×2+0×3}{2+3}}}$

${\rightarrow{\red{\boxed{\frac{8}{5}}}}}$

so the points which divide the line at 2:3 are $({\bold{\large{\green{\frac{6}{5}, \frac{8}{5}}}}})$