Chapter 11: Q. 25 (page 616)

Find the slope of the line through the given points.
$(- 3, - 5), (- 6, 7)$

Short Answer

Expert verified

The slope of the line through the points $(- 3, - 5), (- 6, 7)$ is $- 4$ .

Step by step solution

Step 1. Given Information.

The given points are $(- 3, - 5), (- 6, 7)$

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 $(x_{1}, y_{1}) = (- 3, - 5)$ and $(x_{2}, y_{2}) = (- 6, 7)$ into the slope formula then simplify it.

$\begin{matrix} \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{7 - (- 5)}{- 6 - (- 3)} \\ \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{12}{- 3} \\ \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = - 4 \end{matrix}$

Step 4. Conclusion.

The slope of the line through the points $(- 3, - 5), (- 6, 7)$ is $- 4$ .

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Find the slope of the line through the given points.
$(- 3, - 5), (- 6, 7)$

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.−3, −5, −6, 7

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

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Find the slope of the line through the given points.
$(- 3, - 5), (- 6, 7)$