Chapter 4: Q 161. (page 466)

Find the intercepts for $3 x + y = 6$

Short Answer

Expert verified

The x-intercept is $(2, 0)$

The y-intercept is $(0, 6)$

Step by step solution

Step 1. Definition

The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis.

Step 2. Calculating x-intercept

To find x-intercept, let $y = 0$

$\Rightarrow 3 x + 0 = 6$

$\Rightarrow x = 2$

So, the x-intercept is $(2, 0)$

Step 3. Calculating y-intercept

To find y-intercept, let $x = 0$

$\Rightarrow 3 (0) + y = 6$

role="math" localid="1647341932673" $\Rightarrow y = 6$

So, the y-intercept is $(0, 6)$

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.

Find the intercepts for $3 x + y = 6$

Short Answer

Step by step solution

Step 1. Definition

Step 2. Calculating x-intercept

Step 3. Calculating y-intercept

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Logic and Functions

Pure Maths

Mechanics Maths

Geometry

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Find the intercepts for3x+y=6

Short Answer

Step by step solution

Step 1. Definition

Step 2. Calculating x-intercept

Step 3. Calculating y-intercept

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Logic and Functions

Pure Maths

Mechanics Maths

Geometry

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Find the intercepts for $3 x + y = 6$