/*! 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 175. Find the equation of a line with... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 3: Q 175. (page 292)

Find the equation of a line with given slope and containing the given point and write the equation in slope-intercept form.

m=-32, point-4,-3.

Short Answer

Expert verified

Slope-intercept form of the line isy=-32x-9.

Step by step solution

01

Step 1. Given information.

Slope of the line m=-32and the line passes through-4,-3.

02

Step 2. Substitute the values into the point-slope form.

Point-slope form is y-y1=mx-x1.

Here, x1,y1=-4,-3.

Substitute the values and simplify.

y-y1=mx-x1y--3=-32x--4y+3=-32x+42y+6=-3x-122y=-3x-18

03

Step 3. Write the equation in slope-intercept form.

Slope-intercept form is y=mx+b.

Therefore, equation in slope-intercept form is y=-32x-9.

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

Graph the equation x-y=-4using the intercepts.

Find the equation of a line with given slope and y-intercept and write the equation in slope-intercept form.

Slope-4and y-intercept0,0.

In the following exercise, determine the most convenient method to graph each line

3x-2y=-12

In the following exercise, determine the most convenient method to graph each line

x-y=1

Graph the equation y=13x-1by plotting points.
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Mechanics Maths

Read Explanation

Logic and Functions

Read Explanation

Calculus

Read Explanation

Applied Mathematics

Read Explanation

Theoretical and Mathematical Physics

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.