Graphs, Linear Equations, and Functions

Slides:

Advertisements

Similar presentations

Equations of Lines and Linear Models

Advertisements

Don’t forget to show your work!. Slope-Intercept Form Section 3.6.

3-5 Lines in the coordinate plane M11. B

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

CHAPTER 3 Graphs of Liner Equations Slide 2Copyright 2011, 2007, 2003, 1999 Pearson Education, Inc. 3.1Graphs and Applications of Linear Equations 3.2More.

CHAPTER 3 Graphs of Liner Equations Slide 2Copyright 2011, 2007, 2003, 1999 Pearson Education, Inc. 3.1Graphs and Applications of Linear Equations 3.2More.

CHAPTER 3 Graphs of Liner Equations Slide 2Copyright 2011, 2007, 2003, 1999 Pearson Education, Inc. 3.1Graphs and Applications of Linear Equations 3.2More.

Copyright © 2010 Pearson Education, Inc. All rights reserved Sec Linear Equations in Two Variables.

Chapter 3 Introduction to Graphing and Equations of Lines

CHAPTER 3 Graphs of Liner Equations Slide 2Copyright 2011, 2007, 2003, 1999 Pearson Education, Inc. 3.1Graphs and Applications of Linear Equations 3.2More.

Determining if Lines are Parallel or Perpendicular Parallel linesPerpendicular lines Slopes are the same Slopes are opposite reciprocals (assume no vertical.

CHAPTER 3 Graphs of Liner Equations Slide 2Copyright 2011, 2007, 2003, 1999 Pearson Education, Inc. 3.1Graphs and Applications of Linear Equations 3.2More.

Copyright © 2010 Pearson Education, Inc. All rights reserved. 3.4 – Slide 1.

Chapter 8 Graphing Linear Equations. §8.1 – Linear Equations in 2 Variables What is an linear equation? What is a solution? 3x = 9 What is an linear equation.

Bell Ringer Write an equation in slope – intercept form that is parallel to the line 5

Copyright © 2010 Pearson Education, Inc. All rights reserved Sec Slope of a Line.

Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall.

Copyright © 2015, 2011, 2007 Pearson Education, Inc. 1 1 Chapter 3 Equations and Inequalities in Two Variables; Functions.

Copyright © 2010 Pearson Education, Inc. All rights reserved Sec

1 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 3-1 Graphs and Functions Chapter 3.

Chapter One Preparation for Calculus. Copyright © Houghton Mifflin Company. All rights reserved. 1 | 2 Intercepts of a Graph.

Copyright © 2010 Pearson Education, Inc. All rights reserved Sec

Chapter 1 Functions and Graphs Copyright © 2014, 2010, 2007 Pearson Education, Inc More on Slope.

Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Section 1.3 Lines.

Chapter 2 Functions and Graphs Copyright © 2014, 2010, 2007 Pearson Education, Inc More on Slope.

Elementary Algebra A review of concepts and computational skills Chapters 3-4.

2.2 Linear Equations Graph linear equations, identify slope of a linear equation, write linear equations.

Notes Over 2.1 Graphing a Linear Equation Graph the equation.

. 5.1 write linear equation in slope intercept form..5.2 use linear equations in slope –intercept form..5.3 write linear equation in point slope form..5.4.

1 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 3-1 Graphs and Functions Chapter 3.

2.2: Linear Equations Our greatest glory is not in never falling, but in getting up every time we do.

2.2: Linear Equations. Graphing Linear Equations y is called the dependent variable because the value of y depends on x x is called the independent variable.

Copyright © 2015, 2008, 2011 Pearson Education, Inc. Section 1.4, Slide 1 Chapter 1 Linear Equations and Linear Functions.

1. Write the equation in standard form.

Parallel Lines and Slope

3.6 Finding the Equation of a Line

POINTS AND LINES ON THE COORDINATE PLANE

Chapter 1 Linear Equations and Linear Functions.

Slope Intercept form. Geometry Unit 2-3, 2-4 Equations of lines Parallel and perpendicular slopes.

Section 1.3 Lines.

What is a right triangle?

Warm Up Find each y-intercept. 1. y = 3x x – 3y = 12

3.3: Point-Slope Form.

Copyright © 2012 Pearson Education, Inc.

Chapter 1 Linear Equations and Linear Functions.

Algebra 1 Section 5.2 Write equations of lines given slope and a point

Linear Equations in two variables

Day 7 – Parallel and Perpendicular lines

Lial/Hungerford/Holcomb: Mathematics with Applications 10e

3-4 Equations of Lines Name the slope and y-intercept of each equation. 1. y = ½ x + 4 m = ½ b = 4 2. y = 2 m = 0, b = 2 (horizontal line) 3. x = 5.

Writing Equations of Lines

The Slope-Intercept Form of a Linear Equation

Writing Linear Equations Given Two Points

2.5 Linear Equations.

Forms of Equations Intercepts Parallel & Perpendicular Linear Graphs

Graphs, Linear Equations, and Functions

Chapter 1 Linear Equations and Linear Functions.

Copyright © 2014, 2010, 2007 Pearson Education, Inc.

Graphing Linear Equations

2-4: Writing Linear Equations Using Slope Intercept Form

(Re)Intro to Linear Equations

Given m and (x, y) Substitute point for x and y; substitute m for slope; solve for b. Given (x1, y1) and (x2, y2) Find slope; substitute one point for.

Slope-Point Form of the Equation for a Linear Function

Chapter 1 Graphs.

5.4 Finding Linear Equations

3 Chapter Chapter 2 Graphing.

Chapter 4 Review.

Section 1.4 Lines Copyright © 2013 Pearson Education, Inc. All rights reserved.

1: Slope from Equations Y = 8x – 4 B) y = 6 – 7x

Copyright 2013, 2009, 2005, 2002 Pearson, Education, Inc.

Presentation transcript:

Graphs, Linear Equations, and Functions Chapter 4 Graphs, Linear Equations, and Functions

Linear Equations in Two Variables 4.3 Linear Equations in Two Variables

4.3 Linear Equations in Two Variables Objectives Write an equation of a line, given its slope and y-intercept. Graph a line, using its slope and y-intercept. Write an equation of a line, given its slope and a point on the line. Write an equation of a line, given two points on the line. Write an equation of a line parallel or perpendicular to a given line. Write an equation of a line that models real data. Copyright © 2010 Pearson Education, Inc. All rights reserved.

4.3 Linear Equations in Two Variables Write an equation of a line given its slope and y-intercept. Given the slope m of a line and the y-intercept b of the line, we can determine its equation. Copyright © 2010 Pearson Education, Inc. All rights reserved.

4.3 Linear Equations in Two Variables Write an equation of a line given its slope and y-intercept. If we know the slope of a line and its y-intercept, we can write its equation by substituting these values into the above equation. Copyright © 2010 Pearson Education, Inc. All rights reserved.

4.3 Linear Equations in Two Variables Writing an Equation of a Line Copyright © 2010 Pearson Education, Inc. All rights reserved.

4.3 Linear Equations in Two Variables Graph Lines Using Slope and y-Intercept Copyright © 2010 Pearson Education, Inc. All rights reserved.

4.3 Linear Equations in Two Variables Write an equation of a line, given its slope and a point on the line. If we know the slope m of a line and the coordinates of a point on the line, we can determine its equation. Copyright © 2010 Pearson Education, Inc. All rights reserved.

4.3 Linear Equations in Two Variables Write an equation of a line, given its slope and a point on the line. If we know the slope of a line and the coordinates of a single point on the line, we can write the equation of the line by substituting these values into the equation above. Copyright © 2010 Pearson Education, Inc. All rights reserved.

4.3 Linear Equations in Two Variables Finding the Equation of a Line, Given the Slope and a Point Copyright © 2010 Pearson Education, Inc. All rights reserved.

4.3 Linear Equations in Two Variables Finding an Equation of a Line, Given Two Points Copyright © 2010 Pearson Education, Inc. All rights reserved.

4.3 Linear Equations in Two Variables Finding an Equation of a Line, Given Two Points Copyright © 2010 Pearson Education, Inc. All rights reserved.

4.3 Linear Equations in Two Variables Equations of Horizontal and Vertical Lines Copyright © 2010 Pearson Education, Inc. All rights reserved.

4.3 Linear Equations in Two Variables Finding Equations of Parallel or Perpendicular Lines Recall that parallel lines have the same slope and perpendicular lines have slopes with product –1. Copyright © 2010 Pearson Education, Inc. All rights reserved.

4.3 Linear Equations in Two Variables Finding Equations of Parallel or Perpendicular Lines Copyright © 2010 Pearson Education, Inc. All rights reserved.

4.3 Linear Equations in Two Variables Finding Equations of Parallel or Perpendicular Lines Copyright © 2010 Pearson Education, Inc. All rights reserved.

4.3 Linear Equations in Two Variables Finding Equations of Parallel or Perpendicular Lines 6 –6 6 –6 Copyright © 2010 Pearson Education, Inc. All rights reserved.

4.3 Linear Equations in Two Variables Finding Equations of Parallel or Perpendicular Lines Recall that parallel lines have the same slope and perpendicular lines have slopes with product –1. Copyright © 2010 Pearson Education, Inc. All rights reserved.

4.3 Linear Equations in Two Variables Finding Equations of Parallel or Perpendicular Lines Copyright © 2010 Pearson Education, Inc. All rights reserved.

4.3 Linear Equations in Two Variables Finding Equations of Parallel or Perpendicular Lines Copyright © 2010 Pearson Education, Inc. All rights reserved.

4.3 Linear Equations in Two Variables Finding Equations of Parallel or Perpendicular Lines 6 –6 6 –6 Copyright © 2010 Pearson Education, Inc. All rights reserved.

4.3 Linear Equations in Two Variables Forms of Linear Equations Copyright © 2010 Pearson Education, Inc. All rights reserved.

4.3 Linear Equations in Two Variables Determining a Linear Equation to Describe Real Data A veterinarian charges $45 to visit a farm where cattle are raised. The price to vaccinate each animal is $18. Write an equation that defines the total bill that the veterinarian will submit to vaccinate all the cattle at the farm. Copyright © 2010 Pearson Education, Inc. All rights reserved.