/*! 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} Q49. Find the x-intercept and the y-i... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Q49. (page 66)

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

f(x)=4x-1

Short Answer

Expert verified

The x-intercept of the given equation is 14and the y-intercept is -1.

Step by step solution

01

Step 1- Given information

A linear equation f(x)=4x-1.

02

Step 2- Concept used

The y-coordinate of the point at which a graph crosses the y-axis is called the y-intercept.

So, the y-intercept is the value of y whenx=0.

The x-coordinate of the point at which a graph crosses the x-axis is called the x-intercept.

So, the x-intercept is the value of x when y=0.

03

Step 3- To find the x-intercept and y-intercept.

From the given information,

f(x)=4x鈭�1鈬�f(x)=y=4x鈭�1鈬�y=4x鈭�1(1)

Substitute the y=0in the equation (1).

0=4x鈭�1鈬�4x=1鈬�x=14

Therefore, the x-intercept is 14and the coordinate is

14,0.

Now, substitute the x=0in the given equation (1).

y=4脳0鈭�1鈬�y=鈭�1

Therefore, the y-intercept is -1 and coordinate is 0,-1.

04

Step 4- Graph of the of the given equation

The graph of the given function is:

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

Find the slope of the line that passes through each pair of points

鈥�鈥�(5,7),(4,-6)

Find each value if fx=5x-9

f6

Write each equation in standard form. Identify A,Band C.

y=3x-5

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

6x=-12y+48

Graph each equation or inequality.

鈥�x=-4
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Pure Maths

Read Explanation

Discrete Mathematics

Read Explanation

Statistics

Read Explanation

Logic and Functions

Read Explanation

Mechanics 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.