Chapter 8.4, Problem 33E

To determine

To find:

The slope of the line that passes through the given points.

Answer to Problem 33E

The slope of the linepassing through the given points would be undefined.

Explanation of Solution

Given:

Two points on a line: $(-10,10)\text{and (}-\text{10,0})$ .

Concept used:

  $\begin{array}{l}m=\frac{y_2-y_1}{x_2-x_1},\text{where,}\\ m=\text{Slope of line,}\\ y_2-y_1=\text{Difference between two }y\text{-coordinates}\\ x_2-x_1=\text{Difference between two }x\text{-coordinates of same }y-\text{coordinates}\end{array}$

Calculation:

Let point $(-10,10)=(x_1,y_1)\text{and (}-\text{10,0})=(x_2,y_2)$ . Upon substitutingcoordinates of our given points in slope formula, we will get:

  $\begin{array}{l}m=\frac{y_2-y_1}{x_2-x_1}\\ m=\frac{0-10}{-10-(-10)}\\ m=\frac{-10}{-10+10}\\ m=\frac{-10}{0}\end{array}$

Since we got a division by zero, therefore, the slope of the line passing through the given points would beundefined.