Document Sample

SWBAT… Write lines in slope-intercept form 1/7/09 Agenda 1. WU (5 min) 2. Notes on slope intercept Warm Up What is the slope of the line passing through (-5, 2) and (6, 7) in the standard (x, y) coordinate plane? HW #2: Writing Equations in slope-intercept Find the rate of change. Explain what the rate of change means. Points Scored for 3-point Baskets 21 18 Points Scored 15 12 9 6 3 0 0 1 2 3 4 5 6 7 Number of Baskets When an equation is in slope-intercept form: Now look at the equation below…… y 2x 1 What is the slope? ____________ What is the y-intercept? ____________ • y = mx+ b is an equation that defines a line • A line has two characteristics – Points that fall on the line – Slope Converting linear equations into Slope- Intercept Form Slope intercept form is: y = mx + b Our main goal is to get the y alone on one side of the equation Class example - convert Into Slope-Intercept Form 2 y 4x 2 (divide both sides by 2 to get y alone) 2 y 4x 2 2 2 (now simplify all fractions) 2 1 2 y 4x 2 2 2 2 y 2x 1 *** Your turn - example 1 *** Convert to Slope-Intercept Form: 5y = 10x + 15 (divide both sides by 5 to get y alone) 5 y 10 x 15 5 5 (now simplify all fractions) 5 y 10 x 15 5 5 5 y = 2x + 3 BRAVO!! *** Your turn – example 2 – convert to Slope-Intercept Form *** -3y = -9x - 12 Step 1: divide both sides by -3 to get y alone Step 2: Simplify all fractions Step 3: Write your equation in y = mx + b What is the slope? ____________ What is the intercept? ____________ *** Check Your Answer *** -3y = -9x - 12 (divide both sides by -3 to get y alone) -3 -3 (now simplify all fractions) -3y = -9x - 12 -3 -3 -3 y = 3x + 4 Slope = 3 Wow, you’re good Intercept = 4 at this!! ***Class example*** Convert to Slope-Intercept Form: 21x – 7y =14 (subtract both sides by 21x) 21x -21x (now divide both sides by -7) -7y = -21x + 14 7 - 7 -7 (simplify all fractions) y = 3x – 2 ***Final Example - Your turn – example 3-Convert to Slope-Intercept Form *** 2y + 26 = -6x Step 1: Subtract both sides by 26 Step 2: Divide both sides by 2 to get y by itself Step 3: Simplify all fractions What is the slope? ____________ What is the intercept? ____________ *** Check Your Answer *** 2y + 26 = -6x (subtract both sides by 26) 26 -26 (now divide both sides by 2 2y = -6x - 26 2 2 2 (simplify all fractions) y = -3x - 13 You are a math wizard! Four students are renting a car for a road trip. The cost of renting the car is given by the function C = 12.5 + 21d, where C is the total cost for renting the car for d days. What does the slope of the function represent? 1. number of people 2. cost per day 3. number of days 4. miles per gallon The cost of prints from an online photo processor is given by C(p) = 29.99 + 0.13p. $29.99 is the cost of membership, and p is the number of 4-inch by 6-inch prints. What does the slope represent? 1. cost per print 2. cost of the membership 3. cost of the membership and 1 print 4. number of prints

DOCUMENT INFO

Shared By:

Categories:

Tags:

Stats:

views: | 17 |

posted: | 12/18/2011 |

language: | English |

pages: | 15 |

OTHER DOCS BY xiaoyounan

How are you planning on using Docstoc?
BUSINESS
PERSONAL

By registering with docstoc.com you agree to our
privacy policy and
terms of service, and to receive content and offer notifications.

Docstoc is the premier online destination to start and grow small businesses. It hosts the best quality and widest selection of professional documents (over 20 million) and resources including expert videos, articles and productivity tools to make every small business better.

Search or Browse for any specific document or resource you need for your business. Or explore our curated resources for Starting a Business, Growing a Business or for Professional Development.

Feel free to Contact Us with any questions you might have.