Chapter 2: Q6. (page 71)

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

Short Answer

Expert verified

The slope of the line is $1$ .

Step by step solution

Step 1- Given information

A pair of points $(3, 4), (1, 2)$ .

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

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

$\begin{array}{l} \Rightarrow m = \frac{2 - 4}{1 - 3} \\ \Rightarrow m = \frac{- 2}{- 2} \\ \Rightarrow m = 1 \end{array}$

Hence, the slope of the line is $1$ .

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

Short Answer

Step by step solution

Step 1- Given information

Step 2- Formula used

Step 3- To find the slope

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Find the slope of the line that passes through each pair of points.3,4,1,2

Short Answer

Step by step solution

Step 1- Given information

Step 2- Formula used

Step 3- To find the slope

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

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Theoretical and Mathematical Physics

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Study anywhere. Anytime. Across all devices.

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