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Q. 24

Expert-verified
Found in: Page 616

### Pre-algebra

Book edition Common Core Edition
Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff
Pages 183 pages
ISBN 9780547587776

# Find the slope of the line through the given points.$\left(4,\text{ }2\right),\left(3,\text{ }8\right)$

The slope of the line through the points $\left(4,2\right),\left(3,8\right)$ is$-6$ .

See the step by step solution

## Step 1. Given Information.

The given points are $\left(4,2\right),\left(3,8\right)$.

## Step 2. Formula used.

The slope of the line through the points $\left({x}_{1},{y}_{1}\right),\left({x}_{2},{y}_{2}\right)is$$\frac{{y}_{2}-{y}_{1}}{{x}_{2}-{x}_{1}}.$

## Step 3. Calculation.

To find the slope substitute $\left({x}_{1},{y}_{1}\right)=\left(4,2\right)$ and $\left({x}_{2},{y}_{2}\right)=\left(3,8\right)$ into the slope formula then simplify it.

$\begin{array}{c}\frac{{y}_{2}-{y}_{1}}{{x}_{2}-{x}_{1}}=\frac{8-2}{3-4}\\ \frac{{y}_{2}-{y}_{1}}{{x}_{2}-{x}_{1}}=\frac{6}{-1}\\ \frac{{y}_{2}-{y}_{1}}{{x}_{2}-{x}_{1}}=-6\end{array}$

## Step 4. Conclusion.

The slope of the line through the points $\left(4,2\right),\left(3,8\right)$ is $-6$ .