Chapter 3.3, Problem 23PPS

To determine

To find the slope of each point

Answer to Problem 23PPS

Value of slope is undefined

Explanation of Solution

Given information:

  $P(-3,-5),Q(-3,-1)$ .

Formulaused:

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

Where, $m$ is slope and $y_2^{}-y_1^{}$ are difference in y coordinates and $x_2^{}-x_1^{}$ difference in x coordinates.

Calculation:

Coordinates are:

  $P(-3,-5),Q(-3,-1)$

So,

Let $x_1^{}=-3,x_2^{}=-3$ and,

  $y_1^{}=-5,y_2^{}=-1$

Substituting value in formula,

$m=\frac{-1-(-5)}{-3-(-3)}$

Solving,

$m=\frac{-1+5}{-3+3}$

So,

$m=\frac{4}{0}$

Hence, value of slope is undefined.