MOODLE DAY Agenda: - Check Homework - Warm-Up - Notes “4.5 A Continued” Quiz Monday

Warm-up ~ Graph Each on the same graph 1. y = -3x + 5 Graphing methods make a table – works for all x and y intercepts: best for ax + by = c 2. 2x + 3y = y = 3/4x - 5

1. y = -3x + 5 Strategy: Make a table x y

Strategies: Make a table OR X intercept (6, 0) Y intercept (0, 4) x y x + 3y = 12

Strategy: Make a table x y y = 3/4x - 5

Turn to a graph page in your vocabulary book.

Rule: Characteristics: Common Mistakes: Example : Linear Equation - An equation of a line Standard form Slope-intercept form ax + by = c 2x + 3y = 1 y = mx + b y = 3x + 1 x intercept: y intercept: Where it crosses the x axis Where it crosses the y axis (x, 0) (0, y) Horizontal line: Vertical line: y = # x = # x-int y-int

LINEAR: y = 2x – 5 x = -7 3x – 4y = 20 Linear Equations Summary No need to write these down, they’re just review of what you just wrote… an equation whose graph is a straight line only has one or two variables no exponents higher than 1 variables do not multiply or divide each other Not LINEAR: y = 2x 2 – 5 xy = -7 3x – 4y + z = 20

Example 1: Linear or Not Linear? 3m + 2n = 12 Yes! x 2 + y = 10 No! y = 1/3 x + 12 Yes! xy = 6 No! y = 6 x No!

Standard Form A linear equation in the form Ax + By = C A, B and C are integers (not fractions) with a GCF of 1. A must be positive Example: 3x – 5y = 10 A = 3 B = -5 C = 10 More vocab Now try filling out a “web” on your own

A linear equation in the form y = mx + b, where m is the slope and b is the y-intercept Ex: y = 3x + 4 slope = 3 y-intercept = 4 Slope – Intercept Form More vocab Now try filling out a “web” on your own

A linear equation in the form y = mx + b, where m is the slope and b is the y-intercept Ex: y = 3x + 4 slope = 3 y-intercept = 4 Slope – Intercept Form More vocab Now try filling out a “web” on your own up 4

A linear equation in the form y = mx + b, where m is the slope and b is the y-intercept Ex: y = 3x + 4 slope = 3 y-intercept = 4 Slope – Intercept Form More vocab Now try filling out a “web” on your own up 4 up 3

A linear equation in the form y = mx + b, where m is the slope and b is the y-intercept Ex: y = 3x + 4 slope = 3 y-intercept = 4 Slope – Intercept Form More vocab Now try filling out a “web” on your own up 4 up 3 Over 1

Horizontal Line has an equation y = # The coordinate at which the graph intersects the Y-axis  When x = 0. ( 0, ? ) Vertical Line has an equation x = # The coordinate at which the graph intersects the X-axis  When y = 0. ( ?, 0 ) “Straight Lines”

29. y = 2x y = x – 6 Homework Solutions, p. 221

35. x + 3y = x + 6y = 8 Homework Solutions, p. 221

Section 4.5 A Continued Objective for today: Learn how to graph using Slope-Intercept form.

In your notes: (on back) Ex. 3: Use slope intercept form works for y = mx +b y = -5x + 4 y = 1x -7 3 m = ____ b = ____ m = ____ b = ____ Identify the slope and y-intercept / Plot the y-intercept (0, b) slope (m): vertical change then horizontal change

In your notes: (on back) Ex. 3: Use slope intercept form works for y = mx +b y = 3x + 4 y = -2x -2 3 m = ____ b = ____ m = ____ b = ____ Identify the slope and y-intercept Your Turn: Plot the y-intercept (0, b) slope (m): vertical change then horizontal change /3 -2

Did you master today’s objective? x + y = 10 What is the best way to graph the given line? Make a table or x and y intercepts y = 3x + 6 Choices: Make a table, x and y intercepts, slope intercept form Slope intercept form