/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q12. Find the x-intercept and the y-i... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Q12. (page 65)

Find the x-intercept and the y-intercept of the graph of each equation. Then graph the equation.

4x+8y=12

Short Answer

Expert verified

The x-intercept is 3 and y-intercept is 1.5. The graph of the equation is:

Step by step solution

01

– Definition of intercepts.

The x-intercept is the point where the graph intersect the x-axis. It is the value of x when y=0.

The y-intercept is the y-intercept is the point where the graph intersect the x-axis. It is the value of y when x=0.

02

– Find the x-intercept.

The given equation is:

4x+8y=12

Substitute y=0 in the given equation.

4x+8(0)=124x+0=124x=124x4=124x=3

The x-intercept is 3. The graph crosses the x-axis at 3,0.

03

– Find the y-intercept.

Substitute x=0 in the given equation.

4(0)+8y=120+8y=128y=128y8=128y=1.5

The y-intercept is 1.5. The graph crosses the y-axis at 0,1.5.

04

– Draw the graph.

Plot the points 3,0and 0,1.5on a coordinate plane and connect them by a straight line as shown below:

Thus, the x-intercept is 3 and y-intercept is 1.5.

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.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Compare the quantity in Column A and the quantity in Column B. Then determine whether:

A. the quantity in Column A is greater,

B. the quantity in Column B is greater,

C. the two quantities are equal, or

D. the relationship cannot be determined from the information given.

The average (arithmetic mean) of three integers x, y, and z is 30.

Column A

Column B

the average (arithmetic mean) of three integers x, y, z and 29

30

Which of the equations x+9y=7,鈥�x2+5y=0, and y=3x-1 is not linear?

State whether each equation or function is linear. Write yes or no. If no, explain your reasoning.

x+y=4

Choose the correct term to complete each sentence.

1.The variable whose values make up the domain of a function is called the
(independent, dependent) variable.

The Jackson Band Boosters sell beverages for 1.75 and candy for 1.50 at home games. Their goal is to have total sales of 525 for each game.

59. If they sell 100 beverages and 200pieces of candy, will the Band Boosters meet their goal?
See all solutions

Recommended explanations on Math Textbooks

Discrete Mathematics

Read Explanation

Applied Mathematics

Read Explanation

Statistics

Read Explanation

Logic and Functions

Read Explanation

Calculus

Read Explanation

Pure Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.