Question

Find the slope of the line passing through the given pair of points. $\left(\right.$ Hint $\left.: \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a}{b} \div \frac{c}{d}\right)$ $$ \left(\frac{3}{4}, \frac{1}{3}\right) \text { and }\left(\frac{5}{4}, \frac{10}{3}\right) $$

Name: Problem 38, Chapter 2: Intermediate Algebra
Uploaded: 2022-02-16T10:16:23-08:00
Duration: 1 min 22 s
Channel: Aditya Yadav
Description: Find the slope of the line passing through the given pair of points. (. Hint .: ((a)/(b))/((c)/(d))=(a)/(b) ÷(c)/(d)) ((3)/(4), (1)/(3)) and ((5)/(4), (10)/(3))

   Find the slope of the line passing through the given pair of points. $\left(\right.$ Hint $\left.: \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a}{b} \div \frac{c}{d}\right)$
$$
\left(\frac{3}{4}, \frac{1}{3}\right) \text { and }\left(\frac{5}{4}, \frac{10}{3}\right)
$$

Intermediate Algebra

John Hornsby; Terry… 13th Edition

Chapter 2, Problem 38

Instant Answer

Solved by Expert Aditya Yadav

02/16/2022

Step 1

So, we have $(x_1, y_1) = \left(\frac{3}{4}, \frac{1}{3}\right)$ and $(x_2, y_2) = \left(\frac{5}{4}, \frac{10}{3}\right)$. Show more…

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Find the slope of the line passing through the given pair of points. $\left(\right.$ Hint $\left.: \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a}{b} \div \frac{c}{d}\right)$ $$ \left(\frac{3}{4}, \frac{1}{3}\right) \text { and }\left(\frac{5}{4}, \frac{10}{3}\right) $$

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Key Concepts

Division of Fractions

This arithmetic concept involves dividing one fraction by another, which is done by multiplying the first fraction by the reciprocal of the second. It is a key technique for simplifying expressions and solving problems where quantities are expressed in fractional form, such as finding the slope with fractional coordinates.

Slope of a Line

This concept from coordinate geometry involves determining the rate at which a line rises or falls. It is calculated by taking the difference of the y-coordinates (vertical change) and dividing it by the difference of the x-coordinates (horizontal change). The slope provides a measure of the line's steepness and direction.

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