Mathematics - Straight Lines Question with Solution | TestHub

$$\text{ A divides }\mathrm{CB}\text{ in }2:1$$ $$\begin{array}{rl}& \Rightarrow 4=\left(\frac{1\times 0+2\times a}{1+2}\right)=\frac{2a}{3}\\ & \Rightarrow a=6\Rightarrow \text{ coordinate of B is B }(6,0)\\ & 3=\left(\frac{1\times b+2\times 0}{1+2}\right)=\frac{b}{3}\\ & \Rightarrow b=9\text{ and }\mathrm{C}(0,9)\end{array}$$ Slope of line passing through $(6,0),(0,9)$ slope, $m=\frac{9}{-6}=-\frac{3}{2}$ Equation of line $y-0=\frac{-3}{2}(x-6)$ $$\begin{array}{rl}& 2y=-3x+18\\ & 3x+2y=18\end{array}$$