Chapter 2: Q23. (page 72)

Find the slope of the line that passes through each pair of points.
$(\frac{1}{2}, - \frac{1}{3}), (\frac{1}{4}, \frac{2}{3})$

Short Answer

Expert verified

The slope of the line is $- 4$ .

Step by step solution

Step 1- Given information

A pair of points $(\frac{1}{2}, - \frac{1}{3}), (\frac{1}{4}, \frac{2}{3})$ .

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, $(x_{1}, y_{1}) = (\frac{1}{2}, - \frac{1}{3}) {and (x}_{2}, y_{2}) = (\frac{1}{4}, \frac{2}{3})$

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

$\begin{array}{l} \Rightarrow m = \frac{\frac{2}{3} - (- \frac{1}{3})}{\frac{1}{4} - \frac{1}{2}} \\ \Rightarrow m = \frac{\frac{2}{3} + \frac{1}{3}}{\frac{1}{4} - \frac{1}{2}} \\ \Rightarrow m = \frac{1}{\frac{1 - 2}{4}} \\ \Rightarrow m = - 4 \end{array}$

Hence, the slope of the line is $- 4$ .

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Find the slope of the line that passes through each pair of points.
$(\frac{1}{2}, - \frac{1}{3}), (\frac{1}{4}, \frac{2}{3})$

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.12,-13,14,23

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.
$(\frac{1}{2}, - \frac{1}{3}), (\frac{1}{4}, \frac{2}{3})$