Chapter 3.4, Problem 65SPR

To determine

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

$X(0,2)$ , $Y(-3,-4)$

Answer to Problem 65SPR

Slope of line.

  $m=2$

Explanation of Solution

Given information:

Line contain the points $X(0,2)$ , $Y(-3,-4)$

Formula used:

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

Calculation:

Points

  $X(0,2)$

  $Y(-3,-4)$

Here

  $x_1=0$

  $y_1=2$

  $x_2=-3$

  $y_2=-4$

Using slope formula to calculate slope of line

  $m=\frac{y_2-y_1}{x_2-x_1}$

Substitute values of x and y

  $m=\frac{-4-2}{-3-0}$

On solving

  $m=\frac{-6}{-3}$

On solving

  $m=2$

Hence, slope of the line is $2.$