Question

If slope of line joining the point $(2,k)$ and $(-3,0)$ is $\frac{2}{5}$ then find the value of $k$

Answer 1

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

$\Rightarrow \frac{2}{5}=\frac{0-k}{-3-2}$

$\Rightarrow \frac{2}{5}=\frac{-k}{-5}$

$\Rightarrow 2=k$

$\therefore ,$ the value of $k$ is $2$