Linear functions. Mathematical Function? Relationship between two variables or quantities Represented by a table, graph, or equation Satisfies vertical.

Slides:

Advertisements

Similar presentations

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

Advertisements

The Linear Function.

The table and graph suggest another method of graphing a linear equation. This method is based on two numbers. The SLOPE This is the coefficient of x.

WARM UP  Using the following table and y = mx + b;  1) What is the y?  2) What is the b? xy

1 Linear Equation Jeopardy SlopeY-int Slope Intercept Form Graphs Solving Linear Equations Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400.

Linear Functions and Modeling

Linear functions. Linear function? For a fixed change in one variable there is a fixed change in the other variable Slope stays the same.

WRITING LINEAR EQUATIONS 5.1 AND 5.2. WRITING A LINEAR EQUATION GIVEN THE SLOPE AND Y-INTERCEPT Use the equation y = mx + b The slope is the m in the.

Thinking Mathematically Algebra: Graphs, Functions and Linear Systems 7.3 Systems of Linear Equations In Two Variables.

4.2 Graphing linear equations Objective: Graph a linear equation using a table of values.

Graphing Linear Equations

Warm Up #10 1.) Graph 5x + 7y =35 2.) Graph y= 2x -3.

I can find the slope of a line from a table or graph.

Write Linear Equations in Slope- Intercept Form (Part 2) Big Idea: Verify that a point lies on a line. Derive linear equations.

Writing equations given a point and the slope of a line

1 Section 1.2 Linear Functions and Graphs. 2 EXAMPLE x (Miles) C (Cost) 100$60 150$75 200$90 250$105 The following table shows the cost per day for a.

LINEAR SYSTEMS – Graphing Method In this module, we will be graphing two linear equations on one coordinate plane and seeing where they intersect. You.

ALGEBRA 1 Lesson 5-4 Warm-Up. ALGEBRA 1 “Point-Slope Form and Writing Linear Equations” (5-4) (5-3) What is “point- slope form”? How can you use point-slope.

LEARNING TARGETS: 1. TO IDENTIFY SLOPE FROM A TABLE OF VALUES. 2. TO IDENTIFY SLOPE FROM A GRAPH. 3. TO IDENTIFY SLOPE FROM 2 POINTS. 4. TO IDENTIFY SLOPE.

Linear Equations in Two Variables A Linear Equation in Two Variables is any equation that can be written in the form where A and B are not both zero.

+ Represent Relations and Functions. + Relation A relation is a mapping, or pairing, of input values with output values. The set of input values in the.

Chapter 6 Linear Equations and Their Graphs

MTH 091 Section 13.3 Graphing with x- and y-intercepts Section 13.4 Slope.

Big Idea : -Solve systems of linear equations by graphs.

Notes Over 2.1 Graphing a Linear Equation Graph the equation.

Class Opener: Solve each equation for Y: 1.3x + y = y = 2x 3.x + 2y = 5 4. x – y = x + 3y = x – 5y = -3.

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.

Variation Functions Essential Questions

Direct Variation Section 1.9.

Lesson 3-4: Graphs of Linear Equations Objective: Students will: recognize linear equations graph linear equations graph horizontal and vertical lines.

5.3 Standard Form of a Line Finding an Equation Given Two Points Write the equation of the line which contains: (-2, 3) (4, 5) Slope (m)=

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

Graphing Linear Equations 4.2 Objective 1 – Graph a linear equation using a table or a list of values Objective 2 – Graph horizontal or vertical lines.

7.3 Linear Equations and Their Graphs Objective: To graph linear equations using the x and y intercepts To graph horizontal and vertical lines.

What happens if we graph a system of equations and the lines intersect? y = x-1 y = 2x-2.

College Algebra Chapter 2 Functions and Graphs Section 2.4 Linear Equations in Two Variables and Linear Functions.

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.

Trick or Treat Halloween was almost over, and Mr. Green had less than 20 candies left. When the doorbell rang, he thought he would give all the candies.

1. Write the equation in standard form.

Graphing Linear Equations

Graphing Lines Using Slope-Intercept Form

Given Slope & y-Intercept

Standard form and Point-slope form of linear equations

College Algebra Chapter 2 Functions and Graphs

Objective- To use slope and y-intercept to

Equations of Lines in the Coordinate Plane

Any two equations for the same line are equivalent.

Systems of Equations Solving by Graphing.

PARENT GRAPH FOR LINEAR EQUATIONS

Chapter 6 Section 2 Graphing Linear Equations and Inequalities in Two Variables Using Alterative Methods.

Lesson 8-3 Using Slopes and Intercepts part 2

2.5 Linear Equations.

Solve Systems of Equations

Any linear equation which is solved for y is in

3.1 Reading Graphs; Linear Equations in Two Variables

Objective: To write linear equations given two points

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

The Graph of a function Objectives: Identify the graph of a function

Graphing Linear Equations

5.1 Solving Systems of Equations by Graphing

Mathematical Relationships

Solutions of Linear Functions

2.2: Graphing a linear equation

The Graph of a function Objectives: Identify the graph of a function

5-1 Rate of Change and Slope

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

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

System of Equations Graphing methods.

Objectives: To graph lines using the slope-intercept equation

Linear Equations Chapter 2/unit

Presentation transcript:

Linear functions

Mathematical Function? Relationship between two variables or quantities Represented by a table, graph, or equation Satisfies vertical line test

Linear function? For a fixed change in one variable there is a fixed change in the other variable Slope stays the same

Linear Function? xy

We can do this for all of the data points, but easier to do in excel…

Deriving Linear Equation y = mx + b m = 2.5 Solve for b x = 3, y = 11 y = 2.5x + 3.5

Practice xy

Deception in excel

Activity Zero