Chapter 3.4, Problem 66SPR

To determine

To determine the slope of the line that contains the given points.

$A(2,5)$ , $B(5,1)$

Answer to Problem 66SPR

Slope of line.

  $m=\frac{-4}{3}$

Explanation of Solution

Given information:

Line contain the points $A(2,5)$ , $B(5,1)$

Formula used:

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

Calculation:

Points

  $A(2,5)$

  $B(5,1)$

Here

  $x_1=2$

  $y_1=5$

  $x_2=5$

  $y_2=1$

Using slope formula to calculate slope of line

  $m=\frac{y_2-y_1}{x_2-x_1}$

Substitute values of x and y

  $m=\frac{1-5}{5-2}$

On solving

  $m=\frac{-4}{3}$

Hence, slope of the line is $m=\frac{-4}{3}$