Question

In the following exercises, use the slope formula to find the slope of the line between each pair of points.

$\left(2,1\right),(4,6)$

Short answer

Required slope between the given points is $\frac{5}{2}$.

Step-by-step solution

Given information.

The points on the line: $\left(2,1\right),(4,6)$

Write the slope formula.

Slope of line passing through two points $\left(x_1,y_1\right)$and $\left(x_2,y_2\right)$is given by:

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

Find the slope.

Here, we have: $\left(x_1,y_1\right)=(2,1);\left(x_2,y_2\right)=(4,6)$

So, required slope is:

$$\begin{gathered} m=\frac{6-1}{4-2} \\ =\frac{5}{2} \end{gathered}$$