Chapter 3.3, Problem 19PPS

To determine

To find the slope of each point

Answer to Problem 19PPS

Value of slope is $m=\frac{5}{3}$

Explanation of Solution

Given information:

  $E(5,-1),F(2,-4)$ .

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:

  $E(5,-1),F(2,-4)$

So,

Let $x_1^{}=5,x_2^{}=2$ and,

  $y_1^{}=-1,y_2^{}=-4$

Substituting value in formula,

$m=\frac{-4-(-1)}{2-5}$

Solving,

$m=\frac{-4+1}{-3}$

Dividing by -1,

$m=\frac{5}{3}$

Hence, value of slope is $m=\frac{5}{3}$ .