Chapter 8.6, Problem 17PPS

To determine

To find: The slope of the line

Answer to Problem 17PPS

The slope of line is Undefined.

Explanation of Solution

Given:

  $J\left(-1,3\right),K\left(-1,7\right)$

Calculation:

Consider two points $J\left(-1,3\right)$ and $K\left(-1,7\right)$

Slope of the line (m) passing through two points is ratio of the difference in y- coordinates tothe corresponding difference in x- coordinates.

So, if two points $\left(x_1,y_1\right)$ and $\left(x_2,y_2\right)$ then slope is:

  $m=\frac{y_2-y_1}{x_2-x_1}$

Consider that $\left(x_1,y_1\right)=\left(-1,3\right)\text{ and }\left(x_2,y_2\right)=\left(-1,7\right)$

Put the value in slope formula:

  $\begin{array}{l}m=\frac{7-3}{-1-\left(-1\right)}\\ =\frac{4}{-1+1}\\ =\frac{4}{0}\end{array}$

Therefore, the slope of line is Undefined.

Conclusion:

Therefore, the slope of line is Undefined.