Question

Line passes through the origin and the point $(3,4)$.

What is the slope ?

Answer 1

Finding the slope:

Given, the points are $(0,0)$ and $(3,4)$

We know that the slope of line passing through $(x_{1,}{y}_1)\&\left(x_{2,}{y}_2\right)$ is given by,

$\Rightarrow m=\frac{y_2-y_1}{x_2-x_1}$

Here, $(x_{1,}{y}_1)=\left(0,0\right)\&\left(x_{2,}{y}_2\right)=\left(3,4\right)$

Finding the required slope

$$\begin{gathered} \Rightarrow m=\frac{4-0}{3-0} \\ \Rightarrow m=\frac{4}{3} \end{gathered}$$

Hence, the slope of the line is $\frac{4}{3}$.