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

Slides:

Advertisements

Similar presentations

Learning Target Students will be able to: Identify, write, and graph direct variation.

Advertisements

Direct Variation 5-2.

3.4 – Slope & Direct Variation. Direct Variation:

Chapter 1 Section 4. Direct Variation and Proportion Direct Variation: The variable y varies directly as x if there is a nonzero constant k such that.

Direct and Inverse Variation

Graphing Lines Test Review By Mrs. Anderson. Graph the following using slope and y-intercept Y=2x + 3 Y=3/4x – 7 Y=3/2x + 5 Y=4x.

Find the x and y-intercepts from the graph. Find the intercepts and state domain and range.

Algebra 1 Section 4.2 Slope and Direct Variation.

2.4 Writing Equations of Lines. We’ve learned to graph given an equation. Now we’ll learn to write the equation given the graph There are three ways.

2.4 Writing Equations of Lines p. 91. Learning Target I can write equations of a line.

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

Problems of the Day 1.) Find the slope of the line that contains (–9, 8) and (5, –4). 2.)Find the value of r so that the line through (10, -3) and (r,

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)

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.

I can write and graph an equation of a direct variation.

Section 4.5 Direct Variation. What happens to Y as X goes up by 1?

Direct Variation 3.6. Direct Variation  Direct Variation is when two variables can be expressed as y=kx where k is a constant and k is not 0.  k is.

Slope and Direct Variation Mr Smith. By the end of this…  You should know what direct variation is, why it is important, and how you could use it. 

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

Review after Christmas!. Solve the below equations for the variable..5 (6x +8) = 16 1.

Direct Variation Chapter 5 Section 2. Objective  Students will write and graph an equation of a direct variation.

Writing a direct variation equation. write a direct variation problem when y = 20 and x = 10 y = kx 20 = k·10 k = 2 y = 2x.

8-1/2-2 DIRECT AND INVERSE VARIATION. Direct Variation Equation: y = kx Solve for constant “k” k = y/x As x increases, y increases As x decreases, y decreases.

3.8 – Direct, Inverse, and Joint Variation. Direct Variation When two variables are related in such a way that the ratio of their values remains constant.

5.5 Direct Variation Pg Math Pacing Slope Review.

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 =

What do you guess?. # of hours you studyGrade in Math test 0 hour55% 1 hour65% 2 hours75% 3 hours95%

Lesson 5.2 Direct Variation Direct variation y = kx Where k is the constant of variation.

Chapter 5 Review. Slope Slope = m = = y 2 – y 1 x 2 – x 1 Example: (4, 3) & (2, -1)

Direct and inverse variation

Model Direct Variation

Write linear equations that represent direct variation

Direct Variation.

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

Chapter Direct variation.

Algebra 1 Section 4.5 Solve direct variation problems

Direct Variation 4-5 Warm Up Lesson Presentation Lesson Quiz

2.2 Direct Variation P68-70.

Model Inverse and Joint Variation

5-2 Direct Variation What is Direct Variation?

4.2 Slope & Direct Variation

Model Direct Variation

Model Direct Variation

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

Direct & Inverse Variation

Write the equation for the following slope and y-intercept:

Write the equation of the line.

Objective Identify, write, and graph direct variation.

2.4 Writing Equations of Lines

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

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

ALGEBRA TWO Section Writing Equations of Lines

5.3 – direct variation Textbook pg. 301 Objective:

Direct Variation.

Learning Target Students will be able to: Identify, write, and graph direct variation.

Linear proportional relationship Linear non-proportional relationship

5.5 Direct Variation Pg. 326.

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

Model Direct Variation

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

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

Section 4.6 Direct Variation Direct Variation

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

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

Objectives: To graph lines using the slope-intercept equation

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

Model Inverse and Joint Variation

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

Presentation transcript:

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

Direct Variation Two variables x and y show direct variation, or vary directly, if y = kx where k is a nonzero constant called the constant of variation. The graph of y = kx is a line with slope k. The y- intercept is 0 (zero), so the graph of any direct variation equation passes through the origin.

Example 1: Graph y = 2x

Graph y = 2/3 x

Graph y = -4x

Example 2: A recipe for fruit punch uses 2 lemons to make 7 cups of punch. Write an equation relating the number of servings y to the number of lemons x. How many cups of punch can you make if you have 8 lemons?

Checkpoint: The variables x and y vary directly. Write an equation that relates x and y.  x= 3, y = -9 y = kx -9 = k*3 k =-3 y=-3x

Checkpoint: The variables x and y vary directly. Write an equation that relates x and y.  x = 10, y = 2 y = kx 2 = k*10 1/5 = k y = 1/5 x

P EVEN EVEN HOMEWORK: