Chapter 3.3, Problem 13PPS

To determine

To find the slope of each point

Answer to Problem 13PPS

Value of slope is $m=\frac{-3}{7}$

Explanation of Solution

Given information:

A graph.

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:

Taking any two coordinates from the line,

Coordinates are:

  $A(-3,1),B(4,-2)$

So,

Let $x_1^{}=-3,x_2^{}=4$ and,

  $y_1^{}=1,y_2^{}=-2$

Substituting value in formula,

$m=\frac{-2-1}{4-(-3)}$

Solving,

$m=\frac{-3}{7}$

Hence, value of slope is $m=\frac{-3}{7}$ .