Chapter 3: Q29. (page 203)

Find the slope of the line that passes through each pair of points.
$(0, 5), (6, 2)$

Short Answer

Expert verified

The slope of the line that passes through the given pair of points is $- \frac{1}{2}$ .

Step by step solution

Step 1. Write the formula to find the slope of the line that passes through two points.

The slope of the line $(m)$ that passes through the two points $(x_{1}, y_{1})$ and $(x_{2}, y_{2})$ is:

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

Step 2. Find the slope of the line that passes through the points 0,5 and 6,2.

The slope of the line $(m)$ that passes through the points $(x_{1}, y_{1}) = (0, 5)$ and $(x_{2}, y_{2}) = (6, 2)$ is:

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{2 - 5}{6 - 0} = \frac{- 3}{6} = \frac{- 1}{2}$

The slope of the line that passes through the given pair of points is $\frac{- 1}{2}$ .

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Find the slope of the line that passes through each pair of points.
$(0, 5), (6, 2)$

Short Answer

Step by step solution

Step 1. Write the formula to find the slope of the line that passes through two points.

Step 2. Find the slope of the line that passes through the points 0,5 and 6,2.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Mechanics Maths

Calculus

Theoretical and Mathematical Physics

Discrete Mathematics

Statistics

Study anywhere. Anytime. Across all devices.

Find the slope of the line that passes through each pair of points.0,5,6,2

Short Answer

Step by step solution

Step 1. Write the formula to find the slope of the line that passes through two points.

Step 2. Find the slope of the line that passes through the points 0,5 and 6,2.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Mechanics Maths

Calculus

Theoretical and Mathematical Physics

Discrete Mathematics

Statistics

Study anywhere. Anytime. Across all devices.

Find the slope of the line that passes through each pair of points.
$(0, 5), (6, 2)$