Chapter 2: Q17. (page 72)

Find the slope of the line that passes through each pair of points.
17. $(- 6, - 5), (4, 1)$

Short Answer

Expert verified

The slope of the line is $\frac{3}{5}$ .

Step by step solution

Step 1- Given information

A pair of points $(- 6, - 5), (4, 1)$ .

Step 2- Formula used

The slope formula of a line is:

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

Where, \[m\] is slope of the line which is passes through the points $(x_{1}, y_{1}), (x_{2}, y_{2}) and x_{1} \neq x_{2} .$

Step 3- To find the slope

Here, $(x_{1}, y_{1}) = (- 6, - 5) {and (x}_{2}, y_{2}) = (4, 1)$

So, $m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

$\begin{array}{l} \Rightarrow m = \frac{1 - (- 5)}{4 - (- 6)} \\ \Rightarrow m = \frac{1 + 5}{4 + 6} \\ \Rightarrow m = \frac{6}{10} \\ \Rightarrow m = \frac{3}{5} \end{array}$

Hence, the slope of the line is $\frac{3}{5}$ .

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Find the slope of the line that passes through each pair of points.
17. $(- 6, - 5), (4, 1)$

Short Answer

Step by step solution

Step 1- Given information

Step 2- Formula used

Step 3- To find the slope

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Find the slope of the line that passes through each pair of points.17. -6,-5,4,1

Short Answer

Step by step solution

Step 1- Given information

Step 2- Formula used

Step 3- To find the slope

One App. One Place for Learning.

Most popular questions from this chapter

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Find the slope of the line that passes through each pair of points.
17. $(- 6, - 5), (4, 1)$