Model Direct Variation

Slides:

Advertisements

Similar presentations

Linear Equations Review. Find the slope and y intercept: y + x = -1.

Advertisements

Plot and label the ordered pairs in a coordinate plane. (Lesson 4.1) A(-5, 2), B(0, 5), C(-6, 0)

EXAMPLE 2 Graph direct variation equations Graph the direct variation equation. a.a. y = x 2 3 y = –3x b.b. SOLUTION a.a. Plot a point at the origin. The.

OBJECTIVES: TO WRITE LINEAR EQUATIONS USING SLOPE- INTERCEPT FORM TO GRAPH LINEAR EQUATIONS IN SLOPE-INTERCEPT FORM CHAPTER 6 SLOPE-INTERCEPT FORM.

EXAMPLE 1 Identify direct variation equations

Write and graph a direct variation equation

TODAY IN ALGEBRA…  Warm Up: Graphing Linear Equations and solving for y.  Learning Goal: 7.1 You will solve systems on linear equations by Graphing 

Class Greeting. Chapter 8 Systems of Linear Equations and Inequalities Lesson 8-1a Solving Systems Equations by Graphing 1.Determine if a system of equations.

GRAPH LINEAR INEQUALITIES IN TWO VARIABLES January 22, 2014 Pages

§2.5 Model Direct Variation CA Standard 2.0 Students solve systems of linear equations and inequalities (in two or three variables) by substitution, with.

1.) Write the equation of the line passing through the two points (-5, 7), (-3, -1). 2.) Write the equation of a line in slope- intercept form perpendicular.

4.6 Model Direct Variation

DIRECT VARIATION GOAL: WRITE AND GRAPH DIRECT VARIATION EQUATIONS Section 2-6:

Warm-up 4-1. x – y = 33x + y = 52y = 6 – x x + y = 5x – 2y = 43x – 2y = 6 Graphs:

Algebra 2 9/22/14 Bellwork:. 2.8 – Graph Linear Inequalities in Two Variables A linear inequality in two variables can be written in one of these forms:

WARM UP GRAPHING LINES Write the equation in slope- intercept form and then Graph. (Lesson 4.7) 1.3x + y = 1 2.x + y = 0 3.y = -4 3.

Lesson 2.6 Direct Variation Goal: Write and graph direct variation equations. Key Words: direct variation constant of variation.

TODAY IN ALGEBRA…  Warm Up: Writing equation in slope- intercept form, then identifying the slope and y-intercept  Learning Goal: 4.6 You will write.

Slope. X Y = 6 9 X Y X Y

Identify direct and inverse variation EXAMPLE 1 Tell whether the equation represents direct variation, inverse variation, or neither. a. xy = 4 SOLUTION.

WARM UP WRITING EQUATIONS Write in slope-intercept form the equation of the line that passes through the given point and has the given slope. (Lesson 5.2)

Algebra 1 Section 4.2 Graph linear equation using tables The solution to an equation in two variables is a set of ordered pairs that makes it true. Is.

Lesson 4-1 Solving linear system of equations by graphing

Solving Linear Inequalities

Warm-Up 1. Put in slope-intercept form: 3x – 4y = -12

Model Direct Variation

Algebra 1 Section 6.5 Graph linear inequalities in two variables.

Write linear equations that represent direct variation

ALGEBRA 1 CHAPTER 7 LESSON 5 SOLVE SPECIAL TYPES OF LINEAR SYSTEMS.

Slope Intercept Form Algebra

Thursday, February 12 Find the equation of a line given ordered pairs.

Special Types of Linear Systems

Warm Up Solve each inequality for y. 1. 8x + y < 6

Do - Now (-2, 1) & (4, 7) (1, 0) & (0, 4) (-3, -4) & (1, 6)

Algebra 1 Section 4.5 Solve direct variation problems

Math CC7/8 – April 24 Math Notebook: Things Needed Today (TNT):

Model Inverse and Joint Variation

5-2 Direct Variation What is Direct Variation?

Warm Up Evaluate each expression for x = 1 and y =–3.

Lesson 7.1 How do you solve systems of linear equations by graphing?

5-2 Direct Variation.

Solve Linear Systems by Graphing

Warm-Up 1. Put in slope-intercept form: 3x – 4y = -12

Model Direct Variation

Warm Up – August 15, Does y vary directly with x? If so, what is the constant of variation and the function rule? 2. Determine whether y varies.

Lesson Objective: I will be able to …

Quiz 2.1 Review Whiteboards

Direct Variation Objectives: To write and interpret direct variation equations. Essential Understanding: One basic type of linear equation is called direct.

kahoot WARM-uP Lesson 55 Exit card

Objectives Identify solutions of linear equations in two variables.

5.1 Solving Systems of Equations by Graphing

2.4 Writing Equations of Lines

Notes Over 2.4 Writing an Equation Given the Slope and y-intercept

ALGEBRA TWO Section Writing Equations of Lines

2.2: Graphing a linear equation

Warm up Evaluate each expression for x = 1 and y = -3.

A system of linear inequalities is a set of two or more linear inequalities containing two or more variables. The solutions of a system of linear inequalities.

5.3 – direct variation Textbook pg. 301 Objective:

5.5 Direct Variation Pg. 326.

Warm-Up 1. Put in slope-intercept form: 3x – 4y = -12

Write Linear Equations in Point-Slope Form

Model Direct Variation

5.1 -Systems of Linear Equations

Graph Linear Inequalities in Two Variables

Warm-Up #8 Solve for y: 2y – x = 4 5 – y = 6x y – 2x = 6.

Section 4.6 Direct Variation Direct Variation

Lesson 0 – 8 Systems of Linear Equations

Model Inverse and Joint Variation

Solving Linear Systems by Graphing

Presentation transcript:

Model Direct Variation Lesson 2.5 Notes Model Direct Variation

The Equation of Direct Variation y = ax - y varies directly with x Constant of Variation - a is called the constant of variation. (Basically, a is slope) - a cannot be 0.

Important: For a relation to be considered a direct variation, THE RELATION: - MUST BE LINEAR - MUST PASS THROUGH THE ORIGIN (0, 0) (no intercept)

Graph the equation. y = 3x

Graph the equation. y = -4x

Graph the equation. y = 2x + 1

Write and graph a direct variation equation that has the given ordered pair as a solution. (3, -9)

Write and graph a direct variation equation that has the given ordered pair as a solution. (-7, 4)

Write and graph a direct variation equation that has the given ordered pair as a solution. (5, 3)

Write and graph a direct variation equation that has the given ordered pair as a solution. (6, -2)

The variables x and y vary directly The variables x and y vary directly. Write an equation that relates x and y. Then find y when x = 12. x = 1, y = 2

The variables x and y vary directly The variables x and y vary directly. Write an equation that relates x and y. Then find y when x = 12. x = -2, y = 5

The variables x and y vary directly The variables x and y vary directly. Write an equation that relates x and y. Then find y when x = 12. x = 3, y = -2

The variables x and y vary directly The variables x and y vary directly. Write an equation that relates x and y. Then find x when y = -4. x = 1, y = 2

The variables x and y vary directly The variables x and y vary directly. Write an equation that relates x and y. Then find x when y = -4. x = -2, y = 5

Tell whether the equation represents direct variation Tell whether the equation represents direct variation. If so, give the constant of variation. y = 2x – 1 y = 3x 2x + y = 0 y -1 = 2x 3y = 4x 3y -1 = x

Homework: Page 103 10-18, 27-35