Chapter 2: Q24. (page 72)

Find the slope of the line that passes through each pair of points.
24. $(\frac{1}{2}, \frac{2}{3}), (\frac{5}{6}, \frac{1}{4})$

Short Answer

Expert verified

The slope of the line is $- \frac{5}{4}$ .

Step by step solution

Step 1- Given information

A pair of points $(\frac{1}{2}, \frac{2}{3}), (\frac{5}{6}, \frac{1}{4})$ .

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, $(x_{1}, y_{1}) = (\frac{1}{2}, \frac{2}{3}) {and (x}_{2}, y_{2}) = (\frac{5}{6}, \frac{1}{4})$

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

$\begin{array}{l} \Rightarrow m = \frac{\frac{1}{4} - \frac{2}{3}}{\frac{5}{6} - \frac{1}{2}} \\ \Rightarrow m = \frac{\frac{3 - 8}{12}}{\frac{5 - 3}{6}} \\ \Rightarrow m = \frac{\frac{- 5}{12}}{\frac{2}{6}} \\ \Rightarrow m = \frac{- 5 \times 6}{12 \times 2} \\ \Rightarrow m = - \frac{5}{4} \end{array}$

Hence, the slope of the line is $- \frac{5}{4}$ .

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Find the slope of the line that passes through each pair of points.
24. $(\frac{1}{2}, \frac{2}{3}), (\frac{5}{6}, \frac{1}{4})$

Short Answer

Step by step solution

Step 1- Given information

Step 2- Formula used

Step 3- To find the slope

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Short Answer

Step by step solution

Step 1- Given information

Step 2- Formula used

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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.
24. $(\frac{1}{2}, \frac{2}{3}), (\frac{5}{6}, \frac{1}{4})$