Chapter 2: Q58. (page 80)

Find the slope of the line that passes through each pair of points. (Lesson 2-3)
58. $(1, - 3)$ , $(3, 3)$

Short Answer

Expert verified

The slope of the required straight line is 3.

Step by step solution

– State the concept

The slope of a straight-line passing through the points $(h, k)$ and $(a, b)$ is given as $m = \frac{b - k}{a - h}$ .

– List the given data

It is given that the line passes through $(1, - 3)$ and $(3, 3)$ .

Then, $(h, k) = (1, - 3)$ and $(a, b) = (3, 3)$ .

– Find the slope

Put $(h, k) = (1, - 3)$ and $(a, b) = (3, 3)$ in $m = \frac{b - k}{a - h}$ to get,

$\begin{matrix} m = \frac{3 - (- 3)}{3 - 1} \\ = \frac{3 + 3}{2} \\ = \frac{6}{2} \\ = 3 \end{matrix}$

So, $m = 3$

So, the slope of the required straight line is 3.

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Find the slope of the line that passes through each pair of points. (Lesson 2-3)
58. $(1, - 3)$ , $(3, 3)$

Short Answer

Step by step solution

– State the concept

– List the given data

– Find the slope

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Find the slope of the line that passes through each pair of points. (Lesson 2-3)58. 1,-3, 3,3

Short Answer

Step by step solution

– State the concept

– List the given data

– Find the slope

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

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Study anywhere. Anytime. Across all devices.

Find the slope of the line that passes through each pair of points. (Lesson 2-3)
58. $(1, - 3)$ , $(3, 3)$