Question

Find the value of $k,$ if slope of line passing through $P(k,3)$ and $Q(1,2)$ is $-\frac{1}{3}$.

Answer 1

Slope of line joining $(x_1,y_1)$, $(x_2,y_2)$ is $=\frac{y_2-y_1}{x_2-x_1}$

Here slope$=\frac{2-3}{1-R}=\frac{-1}{3}$

$\Rightarrow -3=R-1$

$\Rightarrow R=-2$.