Chapter 3.3, Problem 3CYU

To determine

To find the slope of each point

Answer to Problem 3CYU

Value of slope is $m=\frac{5}{6}$ .

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:

  $(1,1.5),(-1.5,-1.5)$

So,

Let $x_1^{}=1,x_2^{}=-1.5$ and,

  $y_1^{}=1.5,y_2^{}=-1.5$

Substituting value in formula,

$m=\frac{-1.5-1}{-1.5-1.5}$

Solving,

$m=\frac{-2.5}{-3.0}$

Dividing by -5,

$m=\frac{5}{6}$

Hence, value of slope is $m=\frac{5}{6}$ .