Chapter 11: Q. 24 (page 616)

Find the slope of the line through the given points.
$(4, 2), (3, 8)$

Short Answer

Expert verified

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

Step by step solution

Step 1. Given Information.

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

Step 2. Formula used.

The slope of the line through the points $(x_{1}, y_{1}), (x_{2}, y_{2}) i s$ $\frac{y_{2} - y_{1}}{x_{2} - x_{1}} .$

Step 3. Calculation.

To find the slope substitute $(x_{1}, y_{1}) = (4, 2)$ and $(x_{2}, y_{2}) = (3, 8)$ into the slope formula then simplify it.

$\begin{matrix} \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{8 - 2}{3 - 4} \\ \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{6}{- 1} \\ \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = - 6 \end{matrix}$

Step 4. Conclusion.

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

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Find the slope of the line through the given points.
$(4, 2), (3, 8)$

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Formula used.

Step 3. Calculation.

Step 4. Conclusion.

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Find the slope of the line through the given points.4, 2,3, 8

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Formula used.

Step 3. Calculation.

Step 4. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Applied Mathematics

Discrete Mathematics

Statistics

Probability and Statistics

Pure Maths

Study anywhere. Anytime. Across all devices.

Find the slope of the line through the given points.
$(4, 2), (3, 8)$