Chapter 6.1, Problem 87STP

To determine

To find: The slope of the linethat passes through each pair of points.

Answer to Problem 87STP

The slope of the line that passes through the points $\left(3,0\right)$ and $\left(-7,-5\right)$ is $\frac{1}{2}$ .

Explanation of Solution

Given information:

The given points are $\left(3,0\right)$ and $\left(-7,-5\right)$ .

Calculation:

Using the formula for the slope.

  $m=\frac{y_2-y_1}{x_2-x_1}$

Here, $m$ is slope, $\left(x_1,y_1\right)$ and $\left(x_2,y_2\right)$ are two given coordinates.

Substitute the given points $\left(3,0\right)$ and $\left(-7,-5\right)$ in above formula.

  $\begin{array}{c}m=\frac{-5-\left(0\right)}{-7-\left(3\right)}\\ =\frac{-5-0}{-7-3}\\ =\frac{-5}{-10}\\ =\frac{1}{2}\end{array}$

Therefore,the slope of the line that passes through the points $\left(3,0\right)$ and $\left(-7,-5\right)$ is $\frac{1}{2}$ .