/*! 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} Q. 400 In the following exercises, find... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 4: Q. 400 (page 537)

In the following exercises, find the equation of a line with given slope and y-intercept. Write the equation in slope鈥搃ntercept form.

slope -3and y-intercept (0,0).

Short Answer

Expert verified

The equation of the line is y=-3x.

Step by step solution

01

Step 1. Given information

The slope of the line is -3.

The Y-intercept of the line is (0,0).

We have to find the equation of the line with the given slope and given y-intercept.

02

Step 2. General equation of the slope-intercept form

The general form of representation of the equation of a line in Slope-intercept form is

y=mx+b.

Here mis the slope of the line and (0,b)is the Y-intercept of the line.

03

Step 3. Equation of the line

From the given data we have:

m=-3(0,b)=(0,0)鈬�b=0

Substitute the given slope and Y-intercept in the general form equation of a line.

y=mx+b鈬�y=-3x+0鈬�y=-3x

Therefore the equation of the line is y=-3x.

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

In the following exercises, find the equation of a line with a given slope and y-intercept. Write the equation in slope-intercept form.

389.Slope 8and y-intercept (0,-6).

In the following exercises, complete the table to find solutions to each linear equation.

Plot each point in a rectangular coordinate system and identify the quadrant in which the point is located: 鈸� (鈭�4,1)鈸� (鈭�2,3)鈸� (2,鈭�5)鈸� (鈭�2,5) 鈸�(-3,52)

Weight of a child. Latresha recorded her son鈥檚 height and weight every year. His height, in inches, and weight, in pounds, are listed in the table below, and shown as an ordered pair in the third column.

鈸� Plot the points on a coordinate plane.

鈸� Why is only Quadrant I needed?

In the following exercises, which ordered pair are solutions to the given equation :

y=2x-5

(a)(0,-5)(b)(2,1)(c)12,-4
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Logic and Functions

Read Explanation

Applied Mathematics

Read Explanation

Pure Maths

Read Explanation

Probability and Statistics

Read Explanation

Discrete Mathematics

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.