Chapter 3: Q. 40 (page 251)

Find the intercepts of the equation $x - 2 y = 8$ .

Short Answer

Expert verified

The intercepts of the given equation are (8,0) and (0,-4).

Step by step solution

Given information

The equation is given as $x - 2 y = 8$ .

Find the intercept on abscissa

Apply the definition of the intercepts to find the intercept on the abscissa.

Substitute each ordinate by 0 into the given equation and solve to find the required intercept on the abscissa.

$\begin{array}{rcl} x - 2 y & = & 8 \\ x - 2 (0) & = & 8 \\ x & = & 8 \end{array}$

Find the intercept on ordinate

Now substitute each $x$ by zero into the given equation and solve to find the required answer.

$\begin{array}{rcl} x - 2 y & = & 8 \\ 0 - 2 y & = & 8 \\ - 2 y & = & 8 \\ y & = & - 4 \end{array}$

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 $x - 2 y = 8$ .

Short Answer

Step by step solution

Given information

Find the intercept on abscissa

Find the intercept on ordinate

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Mechanics Maths

Calculus

Geometry

Logic and Functions

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Find the intercepts of the equationx-2y=8.

Short Answer

Step by step solution

Given information

Find the intercept on abscissa

Find the intercept on ordinate

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Mechanics Maths

Calculus

Geometry

Logic and Functions

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Find the intercepts of the equation $x - 2 y = 8$ .