Introduction to Macroeconomics Chapter 1 Appendix. Working with Numbers and Graphs.

Slides:

Advertisements

Similar presentations

3.7 Equations of Lines in the Coordinate Plane

Advertisements

1 APPENDIX Graphs in Economics.

Quick Review: Slope is… Positive Slope: Negative Slope:

GRAPHS AND THEIR MEANING APPENDIX 1A - 1Copyright McGraw-Hill/Irwin, 2002.

Copyright 2008 The McGraw-Hill Companies 1a-1 Graphs and their Meaning Direct and Inverse Relationships Dependent and Independent Variables Slope of a.

TOOLS USED TO EXPRESS RELATIONSHIPS

Math Tech 2 10 th Grade. Elementary Algebra Standards  EA-2.6  EA-5.6  EA-5.7.

1.2 Linear Equations in Two Variables

Graphing Linear Equations

Copyright © 2006 Pearson Education Canada Appendix: Graphs in Economics PART 1Introduction 1 CHAPTER.

Copyright © 2006 Pearson Education Canada Appendix: Graphs in Economics PART 1Introduction 1 CHAPTER.

3-7 Equations of Lines in the Coordinate Plane

Slope of a Line Chapter 7.3. Slope of a Line m = y 2 – y 1 x 2 – x 1 m = rise run m = change in y change in x Given two points (x 1, y 1 ) and (x 2, y.

Introduction to Macroeconomics Chapter 1 Appendix. Working with Numbers and Graphs.

SLOPE. What does slope measure? Slope measures the steepness of a line.

Equations of Lines Standard Form: Slope Intercept Form: where m is the slope and b is the y-intercept.

Chapter 6 Linear Equations and Their Graphs

GRAPHING AND RELATIONSHIPS. GRAPHING AND VARIABLES Identifying Variables A variable is any factor that might affect the behavior of an experimental setup.

Section 3.4 The Slope Intercept Form of a Linear Equation

Slope (Finding it from a graph.). Key Idea : Slope of a line is a ratio of change in y (the rise) to the change in x (the run) between any two points.

FINDING THE SLOPE FROM 2 POINTS Day 91. Learning Target: Students can find the slope of a line from 2 given points.

Example 2 Positive and Negative Slope Find the slope of the line. a. = run rise m = x1x1 x2x2 y1y1 y2y2 – – – – = 4 5 =

OBJECTIVE: USE THE SLOPE INTERCEPT FORM TO GRAPH A LINE Slope Intercept Form.

Introduction To Slope. Slope is a measure of Steepness.

Graphing Equations Slope Intercept form and Point Slope form.

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

Introduction To Slope. Slope is a measure of Steepness.

01A Limits, Alternatives, and Choices Appendix McGraw-Hill/Irwin Copyright © 2012 by The McGraw-Hill Companies, Inc. All rights reserved.

Linear Equations Chapter 5.

Slope-Intercept and Standard Form of a Linear Equation.

01 Appendix Limits, Alternatives, and Choices

Introduction To Slope.

Slope of a Line.

Linear Functions.

Equations of Lines in the Coordinate Plane

Slope and Graphing.

Identifying Graphs of Linear Equations

2.4 Linear Functions: Graphs and Slope

slope - describes the steepness of a line

Writing Equations in Slope-Intercept Form

GRAPHS AND THEIR MEANING

Introduction To Slope.

Introduction To Slope.

GRAPHS AND THEIR MEANING

Introduction To Slope.

Graphing Linear Equations

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

01 Appendix Limits, Alternatives, and Choices

WARM UP 1. Name the alternate interior angles

Equations and Inequalities in 2 Variables; Functions

Introduction To Slope.

Introduction To Slope.

Introduction To Slope.

Find the y-intercept and slope

Introduction To Slope.

Introduction To Slope.

Understanding Slope.

Objectives: To graph lines using the slope-intercept equation

4 minutes Warm-Up Graph. 5x – 4y = 20 2) x = 5 3) y = -2.

Introduction To Slope.

Equations and Inequalities in 2 Variables; Functions

Chapter 4 Review.

Slope Graphing Day 2.

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

Introduction To Slope.

Graphing using Slope-Intercept Form

Presentation transcript:

Introduction to Macroeconomics Chapter 1 Appendix. Working with Numbers and Graphs

Chapter 1 Appendix Working with Numbers and Graphs Working with Numbers –Marginal Change and Analysis –Percentage Change –Elasticity Working with Graphs –Relating Two Variables –Graphical Representation –Graphing an Equation –The Intercept of a Curve –The Slope of a Curve –Nonlinear Relationships

Graph Plotting Area

Graphing an Equation Y = * X Slope = 0.75 = change in Y (rise) change in X (run) Intercept = 10 = value of Y when X equals 0

Slopes Positive Slope (slope > 0) X and Y are directly related Negative Slope (slope < 0) X and Y are inversely related Zero Slope (slope = 0)Undefined Slope (slope =  )

Nonlinear Relationship: Study Time and Expected Grade Slope of Tanget (at X=4) = Positive Slope Slope becomes zero at maximum Negative Slope