Chapter B, Problem 5E

To determine

To calculate: To show that points are the vertices of a square

Answer to Problem 5E

Slope of the line is $\frac{4}{7}$

Explanation of Solution

Given information: Points are $\left(-2,9\right)$ , $\left(4,6\right)$ , $\left(1,0\right)$ and $\left(-5,3\right)$

Formula Used:

Slope of the line passing through points $\left(x,y\right)$ and $\left(x,y\right)$ is given as

  $m=\frac{y_2-y_1}{x_2-x_1}$

Calculation:

Points are given as follows:

  $\left(-2,9\right)$ , $\left(4,6\right)$ , $\left(1,0\right)$ and $\left(-5,3\right)$

Slope of the line passing through $\left(-2,9\right)$ and $\left(4,6\right)$ is calculated as

Conclusion:

Hence, the slope of line is $\frac{4}{7}$