Chapter 3: Q. 437 (page 356)

In the following exercises, identify the slope and y-intercept of each line
$4 x - 5 y = 8$

Short Answer

Expert verified

The slope of the line is $0.8$

y-intercept is $- 1.6$

Step by step solution

Step 1. Given information

The equation of the line is

$4 x - 5 y = 8$

Step 2. Rewrite the equation

$4 x - 8 = 5 y 5 y = 4 x - 8 y = \frac{1}{5} (4 x - 8) y = \frac{4}{5} x - \frac{8}{5}$

$y = 0.8 x - 1.6$ ...................equation(1)

Step 3. Compare the equation with standard equation of line

By comparing equation (1) with standard equation of line in slope intercept form

We get

$m = 0.8 c = - 1.6$

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, identify the slope and y-intercept of each line
$4 x - 5 y = 8$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Rewrite the equation

Step 3. Compare the equation with standard equation of line

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Theoretical and Mathematical Physics

Statistics

Decision Maths

Calculus

Geometry

Study anywhere. Anytime. Across all devices.

In the following exercises, identify the slope and y-intercept of each line4x-5y=8

Short Answer

Step by step solution

Step 1. Given information

Step 2. Rewrite the equation

Step 3. Compare the equation with standard equation of line

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Theoretical and Mathematical Physics

Statistics

Decision Maths

Calculus

Geometry

Study anywhere. Anytime. Across all devices.

In the following exercises, identify the slope and y-intercept of each line
$4 x - 5 y = 8$