×

### Let's log you in.

or

Don't have a StudySoup account? Create one here!

×

### Create a StudySoup account

#### Be part of our community, it's free to join!

or

##### By creating an account you agree to StudySoup's terms and conditions and privacy policy

Already have a StudySoup account? Login here

## MATH121, 3.3 Notes

by: Mallory McClurg

9

0

2

# MATH121, 3.3 Notes Math 121

Mallory McClurg
OleMiss
GPA 3.37

### Preview These Notes for FREE

Get a free preview of these Notes, just enter your email below.

×
Unlock Preview

### Preview these materials now for free

Why put in your email? Get access to more of this material and other relevant free materials for your school

## About this Document

These notes cover all of Chapter 3.3 - Forms of Linear Equations. Step-by-step explanations of every type of question! (By the way, i took all of these directly from my "certify" homework online.) ...
COURSE
College Algebra
PROF.
Dirle
TYPE
Class Notes
PAGES
2
WORDS
CONCEPTS
Math121, Linear, equation
KARMA
25 ?

## Popular in Math

This 2 page Class Notes was uploaded by Mallory McClurg on Tuesday September 20, 2016. The Class Notes belongs to Math 121 at University of Mississippi taught by Dirle in Fall 2016. Since its upload, it has received 9 views. For similar materials see College Algebra in Math at University of Mississippi.

×

## Reviews for MATH121, 3.3 Notes

×

×

### What is Karma?

#### You can buy or earn more Karma at anytime and redeem it for class notes, study guides, flashcards, and more!

Date Created: 09/20/16
MATH121 CHAPTER 3 Lesson 3.3 – Forms of Linear Equations EXAMPLE 1. (-6, 8) and (-1, -4) (We’re asked to find the slope of a line that passes through the two points. We can use the formula (y – 2 /x1– 2 ) 1o find the slope.) (-4 – 8)/(-1 + 6) = -12/5 Slope = -12/5 EXAMPLE 2. (1, 6) and (1, -8) (We’re ask to find the slope of the a line that passes through the two points. Use the same formula as EXAMPLE 1.) (-8 – 6)/(1 – 1) = -14/0 (We know that a fraction with the denominator of zero is undefined, so our slope here is undefined!) Slope = undefined EXAMPLE 3. (-8, -8) and (-9, -8) (Again, find the slope. Use the same formula as EXAMPLE 1.) (-8 + 8)/(-9 + 8) = 0/1 (A fraction with zero as the numerator means the slope is zero!) Slope = 0 EXAMPLE 4. 3x + 3y = 9 (We’re asked to find the slope of this line, but first we need to put it in it’s proper linear “y = mx + b” form, so get y on a side by itself.) 3y = 3x + 9 (Divide both sides by 3.) y = x + 3 (Now, this is in proper linear form, so we can look at “m”, the coefficient in front of x… and know that is our slope. Note: the coefficient of “x” is 1.) Slope = 1 EXAMPLE 5. -x – 6y = 3 (Find the slope of this line by putting it in proper linear form.) -6y = x + 3 (Divide both sides by -6.) y = (-1/6)x – 2 (Remember, slope is the coefficient of x.) Slope = -1/6 EXAMPLE 6. 3y + 2 = (x/-2) (Find the slope of this line by putting it in proper linear form. First, multiply both sides by -2 to get ride of the fraction.) -6y – 4 = x (Now, get y on a side by itself.) -6y = x + 4 MATH121 CHAPTER 3 y = (-1/6)x – (2/3) Slope = -1/6 EXAMPLE 7. 7y = 1 (Find the slope of the line by first putting it in linear form.) 7y = 0x + 1 Slope = 0 EXAMPLE 8. -6x = 14 (Find the slope of the line by first putting it in linear form. We should realize that there is no y…so this is undefined.) Slope = undefined EXAMPLE 9. (-1, -10), slope = 4/3 (We’re asked to come up with the linear equation for a line that passes through this point and has a slope of 4/3. So first, we need to substitute our x and y values and our slope from the question into the y = mx + b equation.) -10 = (4/3)(-1) + b (Simplify.) -10 = (-4/3) + b (Add “-4/3” to both sides, to isolate the variable.) (-26/3) = b (Now, substitute our “b” and the given slope into the y = mx + b equation.) y = (4/3)x – (26/3) (This is our linear equation!) EXAMPLE 10. (-2, -11) and (6, 5) (We’re asked to write the linear equation of the line that passes through these two points. So first, we’ll use the “y 2 y 1 x 2 – x1” formula to find the slope, first.) (5 + 11)/(6 + 2) = (16/8) = 2 = slope (Now that we’ve found the slope, we can substitute the x and y values from one of our points to find the value of b in the “y = mx + b” equation.) 5 = 2 (6) + b (Simplify to get b on a side by itself.) b = -7 (So, now we have the slope and the value for b, so write it out as a linear equation!) y = 2x – 7 (This is our linear equation!) EXAMPLE 11. -5x + 4y = 34 (First, we need to get y on a side by itself, so we can get closer to the y = mx + b form.) 4y = 5x + 34 (Divide both sides by 4.) y = (5/4)x + (17/2) (The question asks us to find the value of y when x = 2, so substitute a 2 in for x and to solve for y.) (5/4)(2) + (17/2) = y = 11 (11 is the value for y in this equation when x = 2.)

×

×

### BOOM! Enjoy Your Free Notes!

We've added these Notes to your profile, click here to view them now.

×

### You're already Subscribed!

Looks like you've already subscribed to StudySoup, you won't need to purchase another subscription to get this material. To access this material simply click 'View Full Document'

## Why people love StudySoup

Bentley McCaw University of Florida

#### "I was shooting for a perfect 4.0 GPA this semester. Having StudySoup as a study aid was critical to helping me achieve my goal...and I nailed it!"

Allison Fischer University of Alabama

#### "I signed up to be an Elite Notetaker with 2 of my sorority sisters this semester. We just posted our notes weekly and were each making over \$600 per month. I LOVE StudySoup!"

Steve Martinelli UC Los Angeles

Forbes

#### "Their 'Elite Notetakers' are making over \$1,200/month in sales by creating high quality content that helps their classmates in a time of need."

Become an Elite Notetaker and start selling your notes online!
×

### Refund Policy

#### STUDYSOUP CANCELLATION POLICY

All subscriptions to StudySoup are paid in full at the time of subscribing. To change your credit card information or to cancel your subscription, go to "Edit Settings". All credit card information will be available there. If you should decide to cancel your subscription, it will continue to be valid until the next payment period, as all payments for the current period were made in advance. For special circumstances, please email support@studysoup.com

#### STUDYSOUP REFUND POLICY

StudySoup has more than 1 million course-specific study resources to help students study smarter. If you’re having trouble finding what you’re looking for, our customer support team can help you find what you need! Feel free to contact them here: support@studysoup.com

Recurring Subscriptions: If you have canceled your recurring subscription on the day of renewal and have not downloaded any documents, you may request a refund by submitting an email to support@studysoup.com

Satisfaction Guarantee: If you’re not satisfied with your subscription, you can contact us for further help. Contact must be made within 3 business days of your subscription purchase and your refund request will be subject for review.

Please Note: Refunds can never be provided more than 30 days after the initial purchase date regardless of your activity on the site.