Chapter 13, Problem 11RP

To determine

To find: Whether the slope of the points $\left(2,4\right),\left(5,13\right),\left(26,76\right)$ are collinear,

Answer to Problem 11RP

The slope between the one and the other two point is same so the points are collinear.

Explanation of Solution

Consider the slope between the points $\left(2,4\right),\left(5,13\right)$ is,

  $\begin{array}{c}m=\frac{13-4}{5-2}\\ =3\end{array}$

Consider the slope between the points $\left(5,13\right),\left(26,76\right)$ is,

  $\begin{array}{c}m=\frac{76-4}{26-2}\\ =3\end{array}$

As the slope is same so the points are collinear.