Write linear equations from tables or graphs.

Slides:

Advertisements

Similar presentations

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

Advertisements

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

Writing the Equation of a Line Using Slope-Intercept Form Chapter 5.1.

Lesson 5.1 Write Equations in Slope-Intercept Form.

Slope Intercept Form.

Today we will graph linear equations in slope intercept form.

Slope intercept form of an equation

Linear Equations in Two Variables

Warm-Up Bamboo can grow very quickly. The graph models the growth of a bamboo plant. Find the point where the line crosses the vertical axis. What does.

Lesson 2.5 AIM: Graphing Slope Intercept Form. SLOPE INTERCEPT FORM y = mx + b m = slope (how steep the line is) b = y-intercept (where it crosses the.

Y = -2x + 1 x y xy (-2) + 1= 5 -2(0) (1) (2) (-1) + 1 Ordered Pair (-2, 5) (-1, 3) (0, 1) (1, -1) (2, -3) Where is the “y-intercept”?

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.

Lesson 6.2 Slope-Intercept Form Objective 1: Writing Linear Equations Linear Equation – an equation whose graph is a straight line when graphed Y-Intercept.

Warm-Up Graph. Then find the slope. 5 minutes 1)y = 3x + 2 2) y = -2x +5.

Do Now Find the slope of the line passing through the given points. 1)( 3, – 2) and (4, 5) 2)(2, – 7) and (– 1, 4)

Learn to use slopes and intercepts to graph linear equations.

5.3 Slope-intercept form Identify slope and y-intercept of the graph & graph an equation in slope-intercept form. day 1.

Slope-Intercept and Point-Slope Forms of a Linear Equation.

2.1 Relations and Functions. In this chapter, you will learn: What a function is. Review domain and range. Linear equations. Slope. Slope intercept form.

Graphing Linear Equations. Identifying a Linear Equation A linear equation is any equation that can be put in the form... Ax + By = C... where A, B, and.

In this lesson we will explore x and y intercepts of linear equations.

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

Algebra II w/ trig.  Coordinate Plane  Ordered pair: (x, y)  Relation: a set of ordered pairs(mapping, ordered pairs, table, or graphing)  Domain:

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.

Relation Input Output Function Domain Range Scatter Plot Linear Equation x - intercept y- intercept Slope Rise Run.

IA Functions, Equations, and Graphs Chapter 2. In this chapter, you will learn: What a function is. Review domain and range. Linear equations. Slope.

Slope Intercept Form. Y = mx + b m is the slope b is the y-intecept (0, b) Your equation must say “y = “ Example: Y = 3x + 8 m = 3 Y-intercept (0,8) Y.

Section 6-2 Slope-Intercept Form. How to Graph a Linear Equation It must be in the slope – intercept form. Which is: y = mx + b slope y-intercept.

Lesson 2: The Equation of a Line The Equation of a Line is: y = mx + b Where m is the slope And b is the y-intercept.

Lesson 4-4 Example Determine the slope of the function y = 5x – 2. Step 1Complete a function table for the equation.

Chapter 5 LINEAR FUNCTIONS. Section 5-1 LINEAR FUNCTION – A function whose graph forms a straight line.  Linear functions can describe many real- world.

Part 1: Coinciding Lines Parallel Lines. Coinciding Lines: Definition: Lines that have all solutions in common in an input/output table. They overlap.

Welcome! The Topic For Today Is…. EquationsSlopeY-interceptMiscellaneous LINES.

Algebra 2 Lesson 2-4 Writing Linear Equations. Different Forms of Linear Equations Slope-intercept Form: y = mx + b Standard Form: Ax + By = C Point-Slope.

Warm UP: Solve and check: 1) 3n – 7 = 262) 3(-4x + 2) = 6(2 + x) Solve and graph each solution on a number line: 3) 5p > 10 or -2p ≤ 10 Solve and check:

8.4 The Slope-Intercept Form of a Linear Equation Objective: To use the Slope-Intercept Form of a linear equation. Warm – up: Solve each equation for y.

ƒ(x) Function Notations

Graphing Linear Equations

Lesson 1-3, 1-4 Represent Functions as Graphs; Graphing Linear Equations using Intercepts.

Slope-Intercept Form. Warm-up: Find the slope of the following: Find the slope of the line passing through: (-1,- 2)(3,4) Slope = 6 4 Find the slope of.

Lesson 6-6 Example Example 2 Graph y = 3x + 2 and determine the slope of the line. 1.Complete a function table for the equation.

Graphing Lines Section 4.6.

Chapter 5:Write the equation of a line Given Slope & y-Intercept.

There are three ways in which we can solve for slope: Slope = RISE RUN 1. Use the formula and count the spaces on a graph. = 2323.

DOMAIN, RANGE, AND INTERCEPTS NOTES: 9/8. DOMAIN The set of all input values of a function.  x RANGE The set of all output values of a function.  f(x)

Slope-Intercept Form. y=mx + b m is the SLOPE m is the SLOPE b is the Y-INTERCEPT (where the line crosses the y-axis) b is the Y-INTERCEPT (where the.

SLOPE-INTERCEPT FORM LINEAR FUNCTIONS. y = mx + b Slope - measure of the steepness of a line y-intercept - where the line crosses the y-axis.

Writing Linear Equations (Slope- Intercept Form).

Lesson 2.5 – Graphing Lines Concept: Graphing Lines EQ: How do we graph linear equations? CED 2 Vocabulary: Coordinate PlaneIndependent Variable SlopeDependent.

Graphing Linear Equations

Evaluate each expression when x = −2. 1.4x −3 + 11x (x + 5) Warm-Up −25 −1 24.

The y-intercept and slope-intercept form/ Writing linear equations from graphs. 1/11/15.

UNIT 3: LINEAR FUNCTIONS. What is a linear function?  It is a graph of a LINE, with 1 dependent variable or output or y and 1 independent variable or.

Intro to Functions November 30, A function is a relationship between input and output values where each input has exactly one output Remember: Inputs.

1. 2 Homework Monday, 12/7 Lesson 4.02_lesson 4.02_pg 286 #28-33, #52 ALL.

Presentation Index Graphing Equations of Lines QUIZ: Graphing Equations of Lines.

WHO WANTS TO BE AN ALGEBRA 1 MILLIONAIRE?. $100 Plot the following Points: (0,0), (3,-2), (-4,6), (-1,-5), (2,3)

Equations in Slope- Intercept Form Honors Math – Grade 8.

Chapter 6 Lesson 2 Slope-Intercept Form. Define: Slope-Intercept Form Define: Slope-Intercept Form The slope-intercept form of a linear equation is y.

Slope-Intercept Form Go through the slide show. Read each slide carefully. On lined paper answer the questions from the “Answer the following questions”

Write the Equation of the Line You will need to take notes on GRAPH paper today. Copy the graph below and we will use it to answer multiple questions.

Slope Intercept Form Section 5-4.

Writing Rules for Linear Functions. We compared slopes across three different representations – graphs, tables, and in equations. Functions are similar,

Mathematics Vocabulary – Grade 8 ©Partners for Learning, Inc. Slope-intercept form An equation of the form y = mx + b, where m is the slope and b is the.

Grade 7 Chapter 4 Functions and Linear Equations.

Slope-Intercept and Standard Form of a Linear Equation.

Given Slope & y-Intercept

Linear Equations Created by Educational Technology Network

Warm up 21 1.) Determine the slope and y intercept of the line y=7x ) Determine the slope and the yintercept of the line 7x- 4y=3 3.) Graph y=1/2.

Presentation transcript:

Write linear equations from tables or graphs.

Use the table below to answer the following questions. Does the graph model direct variation? What is the slope? Write an equation for the graph. x y -2 -6 -1 -3 1 3 2 6

Linear Functions: A function whose graph is a line. Y-intercept: Where the line crosses the y-axis b is the symbol for the y-intercept

Look for a pattern What # are you counting by for the y-values? What is y when x = 0 ? This is b … where the line crosses the y-axis … y-intercept y = b plus or minus the slope times x y = b ± mx

Setting up the equation Find b (0,??) y-intercept is where the line crosses the y-axis Find slope y/x the # are you counting by for the y values rise over run Y = ?? ± slope times x y = b ± mx

Example 1 Find the linear equation for the input-output table. Start Value is paired with 0. Start value is 11. y = 11 ± ____x Find difference in the outputs. Rate of change is the difference: – 3 Finish the equation. y = 11 – 3x

Example 2 Find the linear equation for the graph. Create an input-output table from each point. Find start value: – 4 y = – 4 ± ____x Find rate of change: +2 Finish the equation. y = – 4 + 2x

Exit Problems Find the linear equation for the input-output table. y -1 5 3 1 2 -3 Find the linear equation for the input-output table. Use the equation y = –5 + x. What is the rate of change? What is the start value? Is the graph of this function a) increasing or b) decreasing? How do you know?

Communication Prompt How is a direct variation equation a special type of linear equation?

Writing Linear Equations Lesson 25 Proportionality Writing Linear Equations

Writing Linear Equations from Tables and Graphs Given a linear graph, create an input-output table using the ordered pairs of the points on the graph. Determine the start value (the output number paired with an input of zero). Determine the rate of change (the amount the output number increases or decreases when the x-value increases by one unit). Write the equation by filling in the start value, operation and rate of change: y = __ ± __ x