Chapter 3: Q21. (page 179)

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

Short Answer

Expert verified

The number 6 represents the required slope.

Step by step solution

Step 1. Determine the formula that can be used.

The slope formula $m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ can be used to calculate the required slope.

Step 2. Take the help of the obtained method.

Take the help of formula for slope of a line represented by $m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ in which the required values can be filled by using the provided points as they are in the form of $(x_{1}, y_{1}) (x_{2}, y_{2})$ .

$\begin{matrix} m = \frac{\frac{1}{4} - \frac{3}{4}}{\frac{2}{3} - \frac{3}{4}} \\ = \frac{\frac{1 - 3}{4}}{\frac{8 - 9}{12}} \\ = \frac{\frac{- 2}{4}}{\frac{- 1}{12}} \\ = \frac{- 2}{4} \times \frac{- 12}{1} \\ = \frac{24}{4} \\ = 6 \end{matrix}$

Step 3. Write the conclusion.

The obtained slope is 6. So, it is the required slope.

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

Short Answer

Step by step solution

Step 1. Determine the formula that can be used.

Step 2. Take the help of the obtained method.

Step 3. Write the conclusion.

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Short Answer

Step by step solution

Step 1. Determine the formula that can be used.

Step 2. Take the help of the obtained method.

Step 3. Write the conclusion.

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