Chapter 3: Q. 410 (page 354)

Find the intercepts of the equation
$2 x + 3 y = 12$

Short Answer

Expert verified

The x- and y- intercept is $6$ and $4$ respectively

Step by step solution

Given Information

The equation of a line for which the x- and y- intercept has to be determined is

$2 x + 3 y = 12$

Concept

The X- and Y- intercept of a line is the x and y coordinates, respectively, of the points where the line intersects the x-axis and y-axis respectively.

Calculation

For x- intercept

Put $y = 0$ in the given equation, we get

$\begin{array}{rcl} 2 x & = & 12 \\ x & = & 6 \end{array}$

For y- intercept

Put $x = 0$ in the given equation, we get

$\begin{array}{rcl} 3 y & = & 12 \\ y & = & 4 \end{array}$

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 of the equation
$2 x + 3 y = 12$

Short Answer

Step by step solution

Given Information

Concept

Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Discrete Mathematics

Calculus

Decision Maths

Theoretical and Mathematical Physics

Pure Maths

Study anywhere. Anytime. Across all devices.

Find the intercepts of the equation2x+3y=12

Short Answer

Step by step solution

Given Information

Concept

Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Discrete Mathematics

Calculus

Decision Maths

Theoretical and Mathematical Physics

Pure Maths

Study anywhere. Anytime. Across all devices.

Find the intercepts of the equation
$2 x + 3 y = 12$