Chapter 2: Q18. (page 72)

Find the slope of the line that passes through each pair of points.
$(2, - 7), (4, 1)$

Short Answer

Expert verified

The slope of the line is $4$ .

Step by step solution

Step 1- Given information

A pair of points $(2, - 7), (4, 1)$ .

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, $(x_{1}, y_{1}) = (2, - 7) {and (x}_{2}, y_{2}) = (4, 1)$

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

$\begin{array}{l} \Rightarrow m = \frac{1 - (- 7)}{4 - 2} \\ \Rightarrow m = \frac{1 + 7}{4 - 2} \\ \Rightarrow m = \frac{8}{2} \\ \Rightarrow m = 4 \end{array}$

Hence, the slope of the line is $4$ .

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Column A	Column B
$\frac{1}{4}$	$\frac{1}{m} - \frac{1}{4}$

Find the slope of the line that passes through each pair of points.
$(2, - 7), (4, 1)$

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.2,-7,4,1

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

Calculus

Mechanics Maths

Logic and Functions

Probability and Statistics

Decision Maths

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Find the slope of the line that passes through each pair of points.
$(2, - 7), (4, 1)$