Chapter 2: Q28. (page 102)

Find the slope of the line that passes through each pair of points.
$(- 3, 24), (10, - 41)$

Short Answer

Expert verified

The slope of the line is $m = - 5$ .

Step by step solution

Step-1 – Apply the concept of slope

The slope of the line passing through the points $(x_{1}, y_{1}) and (x_{2}, y_{2})$ is expressed below.

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

Step-2 –Substitute and solve

Consider the provided ordered pairs $(- 3, 24) and (10, - 41)$ .

Here $(x_{1}, y_{1}) = (- 3, 24) and (x_{2}, y_{2}) = (10, - 41)$ .

Recall the formula of slope of the line and apply it.

$\begin{matrix} m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} \\ = \frac{- 41 - 24}{10 - (- 3)} \end{matrix}$

Step-3 – Calculation

Simplify the value obtained for the slope of the line.

$\begin{matrix} m = \frac{- 41 - 24}{10 + 3} \\ = \frac{- 65}{13} \\ = - 5 \end{matrix}$

Hence, the slope of the line passing through the points $(- 3, 24) and (10, - 41)$ is $m = - 5$ .

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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.
$(- 3, 24), (10, - 41)$

Short Answer

Step by step solution

Step-1 – Apply the concept of slope

Step-2 –Substitute and solve

Step-3 – Calculation

One App. One Place for Learning.

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Find the slope of the line that passes through each pair of points.-3,24,10,-41

Short Answer

Step by step solution

Step-1 – Apply the concept of slope

Step-2 –Substitute and solve

Step-3 – Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Statistics

Applied Mathematics

Logic and Functions

Mechanics Maths

Calculus

Study anywhere. Anytime. Across all devices.

Find the slope of the line that passes through each pair of points.
$(- 3, 24), (10, - 41)$