Chapter 2: Q. 58 (page 80)

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

Short Answer

Expert verified

The slope of the required straight line is 3.

Step by step solution

Step 1. State the concept

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

Step 2. List the given data

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

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

Step 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)
$(1, - 3)$ , $(3, 3)$

Short Answer

Step by step solution

Step 1. State the concept

Step 2. List the given data

Step 3. Find the slope

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

Short Answer

Step by step solution

Step 1. State the concept

Step 2. List the given data

Step 3. 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. (Lesson 2-3)
$(1, - 3)$ , $(3, 3)$