Chapter 3: Q. 427R (page 355)

In the following exercises, use the slope formula to find the slope of the line between each pair of points.
$(3, 5), (4, - 1)$

Short Answer

Expert verified

Required slope between the given points is $- 6$ .

Step by step solution

Given information.

The points on the line: $(3, 5), (4, - 1)$

Write the slope formula.

Slope of line passing through two points $(x_{1}, y_{1})$ and $(x_{2}, y_{2})$ is given by:

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

Find the slope.

Here, we have: $(x_{1}, y_{1}) = (3, 5); (x_{2}, y_{2}) = (4, - 1)$

So, required slope is:

$m = \frac{- 1 - 5}{4 - 3} = \frac{- 6}{1} = - 6$

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.

In the following exercises, use the slope formula to find the slope of the line between each pair of points.
$(3, 5), (4, - 1)$

Short Answer

Step by step solution

Given information.

Write the slope formula.

Find the slope.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Geometry

Mechanics Maths

Calculus

Pure Maths

Logic and Functions

Study anywhere. Anytime. Across all devices.

In the following exercises, use the slope formula to find the slope of the line between each pair of points.3,5,(4,-1)

Short Answer

Step by step solution

Given information.

Write the slope formula.

Find the slope.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Geometry

Mechanics Maths

Calculus

Pure Maths

Logic and Functions

Study anywhere. Anytime. Across all devices.

In the following exercises, use the slope formula to find the slope of the line between each pair of points.
$(3, 5), (4, - 1)$