Lesson 4.3 ALL PROPORTIONAL RELATIONSHIPS ARE IN THE FORM OF y = mx

Slides:

Advertisements

Similar presentations

Objective - To graph linear equations using the slope and y-intercept.

Advertisements

2.6 – Direct Variation. A simplified form of the equation y = mx + b could be an equation with a y-intercept of 0 Direct Variation = as one variable changes,

Write and graph a direct variation equation.

Direct Variation 5-2.

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.

Direct and Inverse Variation

Constant of Proportionality

Direct and Inverse Variations Direct Variation Which of these tables models direct variation? If so, write an equation. NO.

SLOPE. We have already learned about constant rate of change (constant of proportionality) and found the constant rate of change in graphs and tables.

Ratios and Proportional Relationships

Using the Slope of a Line to Estimate Fish Weight.

Writing equations given a point and the slope of a line

Representing proportional relationships with equations.

Notes Over 4.5 Writing a Direct Variation Equation In Exercises 1-6, the variable x and y vary directly. Use the given values to write an equation that.

PRE-ALGEBRA. Lesson 8-4 Warm-Up PRE-ALGEBRA What is a “direct variation”? How do you find the constant, k, of a direct variation given a point on its.

You will be able to: Write an equation of a line given one point and slope.

Unit 3, Lesson 6 Constant of Proportionality and Writing Direct Variation Equations.

ALGEBRA READINESS LESSON 8-6 Warm Up Lesson 8-6 Warm-Up.

Point Slope Form. Write the equation of the line with slope 3 and passing through the point (1, 5). y – y 1 = m(x – x 1 )

6.4 Point-Slope Form and Writing Linear Equations Point-Slope Form of a Linear Equation –The point-slope form of the equation of a non- vertical line that.

Direct variation Y = mX. Y X number of sessions Cost ($) The cost of private gymnastic lessons (y) varies.

Direct Variation What is it and how do I know when I see it?

Variation Functions Essential Questions

Direct Variation Section 1.9.

Direct Variation y = mx (no b) Lines that go through the origin Y intercept of zero Slope also called constant of variation (variation constant)

Direct variation.

Special Linear Case: Proportional Situations 2.14.

Chapter 3.1 Variation.

Direct Variation y = kx. A direct variation is… A linear function Equation can be written in the form; y = mx ; m  0 ory = kx ; k  0 The y-intercept.

Direct Variation 88 Warm Up Use the point-slope form of each equation to identify a point the line passes through and the slope of the line. 1. y – 3 =

Semester 1 Final Review D Plot the point (4, -2) in the coordinate plane. (Lesson 4.1) Name the quadrant the point is in.

Common Core Standards Covered in this lesson: HSA-CED.A.2 --Create equations in two or more variables to represent relationships between quantities 8.F.A.3.

4-9 Slopes of Parallel and Perpendicular Lines Warm Up

Lesson 5.6 Point-Slope Form of the Equation of a Line

Parallel and Perpendicular Lines

Point-Slope Form and Writing Linear Equations

Lesson 13.6 – Writing Equations in Slope-Intercept Form

Lesson 4.2 Review of 4.1 E.Q. #1 E.Q. #2

Bellwork Find the slope:

DIRECT VARIATIONS.

Equations of Lines.

5-2 Direct Variation What is Direct Variation?

Do Now Rewrite the equation 6x - 2y = 8 in slope intercept form. (y = mx + b) What is the equation in slope intercept form? What number represents the.

Equations of straight lines

Any two equations for the same line are equivalent.

Model Direct Variation

Lesson 7.9 Identifying Proportional Relationships

5-2 Direct Variation.

Lesson 8-3 Using Slopes and Intercepts part 2

Parallel and Perpendicular Lines

Model Direct Variation

Point-Slope Form and Writing Linear Equations

Lesson 5-2 Direct Variation

Unit 4. Day 4..

4.7 Graphing Lines Using Slope-Intercept Form

y – y1 = m (x – x1) Topic: Writing Equations in Point-Slope Form

Chapter 5: Graphs & Functions

y = mx + b y – y1 = m (x – x1) Topic: Writing Equations given two

Write and graph lines in point-slope form and standard form

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

Slope-intercept Form of Equations of Straight Lines

Linear proportional relationship Linear non-proportional relationship

Model Direct Variation

Study Tips Look over notes. Look over quizzes

5 Minute Check 1-4 Graph the equation : 2x + y – 4 = 0

Section 4.6 Direct Variation Direct Variation

5-4 point-slope form.

Homework Lesson 4.03_ pg 287_ #8-11.

Linear Equations Chapter 2/unit

Presentation transcript:

Lesson 4.3 ALL PROPORTIONAL RELATIONSHIPS ARE IN THE FORM OF y = mx Topic/ Objective: To interpret and graph proportional relationships. Essential Question: What are the characteristics of a proportional relationship graph? ALL PROPORTIONAL RELATIONSHIPS ARE IN THE FORM OF y = mx

Direct Variation: All proportional relationships are called a Direct variation y = mx where y varies directly to x. m represents the slope/constant of proportionality. All direct variation graphs pass through the origin

Graph y = 2x x y -2 -1 1 2 -4 -2 2 4

y = mx The weight y of an object on Titan, one of Saturn’s moons, is proportional to the weight x of the object on Earth. An object that weighs 105 pounds on Earth would weigh 15 pounds on Titan a. Write an equation that represents the situation. Use the point (105, 15) to find the slope of the line. y = mx 15 = m(105)