1.3 Graphing Systems of Equations Algebra II. Cartesian Coordinate Plane x-axis Quadrant IVQuadrant III Quadrant IIQuadrant I y-axis Origin x-axis (4,

Slides:



Advertisements
Similar presentations
4.1- Plot Points in a Coordinate Plane
Advertisements

Think, Think, Think. Algebra I Seminar. How Much Do you Remember? The Coordinate Plane X-axis, Y-axis Slope Y-intercept Ordered Pairs Slope Intercept.
FUNDAMENTALS OF ALGEBRA 1A CHAPTER 10 POWERPOINT PRESENTATION GRAPHING.
Graphing on a Coordinate Plane
Coordinate Plane 9/20. TOOLBOX: SUMMARY: Coordinate Plane: x and y-axis used to graph equations Quadrant II (neg, pos) Quadrant I (pos, pos) x-axis Origin.
Drill #56 Evaluate the following expressions: 1. 5( 2 + x ) =
The Rectangular Coordinate System
Algebra 1 Graphing Equations With a Table of Values.
The Coordinate Plane Goal: Plot points on a coordinate plane.
The Coordinate Plane. A coordinate plane is formed when two number lines intersect. The coordinate plane is used to locate points. The two number lines.
1.1 Coordinate Systems and Graphs Cartesian Coordinate System Line – One dimension – Plotting Points Just put a dot! Plane – Two dimensions – Important.
Math 025 Section 7.1 Coordinate Systems
Ordered Pairs and the Coordinate Graph
Graphing. The graph paper we traditionally use to graph is officially called Cartesian coordinates (named after French mathematician Rene Descartes).
Graphing Inequalities in Two Variables ALGEBRA 1 UNIT 6: INEQUALITIES.
Objective The student will be able to: graph ordered pairs on a coordinate plane.
Coordinate Graphing System of Linear Inequalities.
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Chapter 10 Graphing Equations and Inequalities.
1 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 3-1 Graphs and Functions Chapter 3.
Lesson 1.8 Coordinate Plane How do you identify and plot points on a graph?
Do Now 10/26/10 In your notebook, explain how you know a function is a function. Then answer if the following three tables are functions or not. x
Algebra 1(A/B) Fall  Class Announcements  Homework Check  Warm-Up  4.3 Notes  Begin Homework.
Lesson 4.1- The Coordinate Plane, pg. 192
Notes Over 2.6 Checking Solutions of Inequalities Check whether the given ordered pairs are solutions of the inequality.
The Cartesian Coordinate System and Linear Equations in Two Variables
Lesson 1-6 and 1-7 Ordered Pairs and Scatter Plots.
Graphing Linear Equations Linear Equations can be graphed on a Cartesian Coordinate system Free powerpoints at
Graphing With Coordinates
3-1 Symmetry and Coordinate Graphs Pre Calc A. Point Symmetry Symmetric about the origin: any point in Quadrant I has a point in Quadrant III (rotate.
Graphing. 2. Coordinate Plane 3. Grid 4. Lattice Points 1. Number Line.
Objective: Plot points and lines on a coordinate plane. Standards Addressed: G: Represent relationships with tables or graphs in the coordinate plane.
Graphing Linear Equations Chapter 7. Angel, Elementary Algebra, 7ed – The Cartesian Coordinate System and Linear Equations in Two Variables 7.2.
th grade math Coordinate Graphing. Objective To graph and label points in a coordinate plane. Why? To know how to correctly read a graph and an.
P7 The Cartesian Plane. Quick review of graphing, axes, quadrants, origin, point plotting.
 In mathematics, we use a grid to locate points..
The Rectangular Coordinate System and Paired Data Section 8.3.
Section 2.1 Graphs  Points & Ordered Pairs (x,y)  Quadrants I II III IV  Solutions to Equations x-intercepts  Nonlinear Equations 12.1.
Rectangular Coordinate System In pre-algebra, we used number lines to plot numbers and equations and inequalities of 1 variable (x = -3, x one-dimensional)
Do Now 11/12/12 Copy HW in planner. - Text p. 196, #2-36 evens, 37, 41 & 42 POTW #6 & 7 due Friday.
3.1 Reading Graphs and the Rectangular Coordinate System.
CHAPTER 2 Section 2.1. Objectives To graph a relation, state its domain and range, and determine if it is a function. To find values of functions for.
EXAMPLE 2 Plot points in a coordinate plane
Do now Solve 4x 4 -65x (3, ∞) Write as an inequality Sketch Bound or unbound?
 Check your grade on Student Connect  Talk to Mr. Szwast if you were absent  We will go over the test in class tomorrow.
The Rectangular Coordinate System and Paired Data Section 3.1.
2-1 Relations and Functions Objective: To graph a relation, state its domain and range, and determine if it is a function, and to find values of functions.
5-1 The Coordinate Plane Introduction. Coordinate Graph.
Equations in two variables can be represented by a graph. Each ordered pair (x,y) that makes the equation true is a point on the graph. Graph equation.
Algebra Review Objective: Students will be able to demonstrate their ability to plot points on the Cartesian coordinate system.
 The plane is split into 4 regions called Quadrants  Formed by the x-axis and y-axis  The axes intersect at the origin  The quadrants are labeled.
Semester 1 Final Review D Plot the point (4, -2) in the coordinate plane. (Lesson 4.1) Name the quadrant the point is in.
4.1 NOTES. x-Axis – The horizontal line on the coordinate plane where y=0. y-Axis – The vertical line on the coordinate plane where x=0.
X y Cartesian Plane y axis x axis origin René Descartes ( ) Points and their Coordinates.
Graphs and Applications of Linear Equations
Graphing Linear Equations
COORDINATE GRAPHING.
3.1 Graphing.
Graphing in the Coordinate Plane
Take Out Paper for Notes!
Algebra 1 Notes Lesson 4-1: The Coordinate Plane
Graphing / Plotting Points Review
ALGEBRA II HONORS/GIFTED - SECTION 2-8 (Two-Variable Inequalities)
Objective - To graph ordered pairs on the coordinate plane.
y x y = x + 2 y = x + 4 y = x – 1 y = -x – 3 y = 2x y = ½x y = 3x + 1
Chapter 3 Graphs and Functions.
4.1 – plotting points Textbook pg. 61 Objective:
4.3 Graphing Equations of Lines From Intercepts
4.1 – Plot Points in a Coordinate Plane
Warm-Up
Rectangular Coordinates; Introduction to Graphing Equations
Presentation transcript:

1.3 Graphing Systems of Equations Algebra II

Cartesian Coordinate Plane x-axis Quadrant IVQuadrant III Quadrant IIQuadrant I y-axis Origin x-axis (4, 2)

Graphing a Function Graph: y = 2x – 1 (Steps: 1. Make a table of values 2. Plot the points 3. Connect the dots) xy x y

You Try Graph: y = –x + 2 (Steps: 1. Make a table of values 2. Plot the points 3. Connect the dots) xy x y

Graphing a function… Nonlinear: x = y² – 4 xy x y

Systems of Equations Find the solution of the following system by graphing: xy x y xy

Graphing 2-Variable Inequalities Graph: x y xy

Graphing a System of Inequalities Graph: x y xyxy

You Try Graph: x y xyxy

Exit Slip Graph each on GRAPH paper and turn in before you leave. 1. Find the solution to the system: 2. Graph the system and shade the area that represents the solution: