Rectangular Coordinates; Introduction to Graphing Equations

Slides:



Advertisements
Similar presentations
Warm Up.
Advertisements

1.Name the quadrant a. (-5, 1)b. (6, -4) c. (5, 8) d. (-8, -1) e. (7, 2)f. (-9, 4)
Copyright © 2010 Pearson Education, Inc. All rights reserved Sec The Rectangular Coordinate System.
Rectangular Coordinate System
Copyright © 2006 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Sec
Section 1.1 The Distance and Midpoint Formulas. x axis y axis origin Rectangular or Cartesian Coordinate System.
Standardized Test Practice EXAMPLE 2 SOLUTION Plot points P, Q, R, and S on a coordinate plane. Point P is located in Quadrant IV. Point Q is located in.
Section 1.1 The Distance and Midpoint Formulas. x axis y axis origin Rectangular or Cartesian Coordinate System.
Copyright © 2013 Pearson Education, Inc. All rights reserved Section 1.1 The Distance and Midpoint Formulas; Graphing Utilities; Introduction to Graphing.
Copyright © 2013 Pearson Education, Inc. All rights reserved Section 1.1 The Distance and Midpoint Formulas; Graphing Utilities; Introduction to Graphing.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Section 2.1 The Distance and Midpoint Formulas.
{ Chapter 1: Functions and their Graphs 1.1 Rectangular Coordinates and 1.2 Graphs of Equations.
8.1 The Rectangular Coordinate System and Circles Part 1: Distance and Midpoint Formulas.
The Cartesian Coordinate System and Linear Equations in Two Variables
Math – The Rectangular Coordinate System 1.
Section 1.1 Rectangular Coordinates; Graphing Utilities; Introduction to Graphing Equations.
Section 1.1 Introduction to Graphing Copyright ©2013, 2009, 2006, 2001 Pearson Education, Inc.
Slide 1 Copyright © 2015, 2011, 2008 Pearson Education, Inc. The Rectangular Coordinate System and Paired Data Section8.3.
Do now Solve 4x 4 -65x (3, ∞) Write as an inequality Sketch Bound or unbound?
1.1 and 1.5 Rectangular Coordinates and Circles Every man dies, not every man really lives. -William Wallace.
1.1) RECTANGULAR COORDINATES Pg 9 # 1- Do Now!. Coordinate Plane  Label: x, y-axis, origin, quadrants  Plot points.
Rectangular Coordinates Objectives: Use the Distance Formula Use the Midpoint Formula.
Copyright © 2010 Pearson Education, Inc. All rights reserved Sec
X y Cartesian Plane y axis x axis origin René Descartes ( ) Points and their Coordinates.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Section 1.1 The Distance and Midpoint Formulas.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. MATH 108 Section Coordinate Plane and Graphs.
Graphs and Applications of Linear Equations
Graphs of Equations © 2002 by Shawna Haider.
Section 1-6 Midpoint and Distance in the Coordinate Plane
College Algebra Chapter 2 Functions and Graphs
Graphing Linear Equations
Graphing Linear Equations
Distance and Midpoint In The Coordinate Plane
COORDINATE PLANE.
COORDINATE GRAPHING.
3.1 Graphing.
Section 1.1 The Distance and Midpoint Formulas; Graphing Utilities; Introduction to Graphing Equations.
Graphing in the Coordinate Plane
Introduction to the coordinate Plane
The Coordinate Plane Chapter 2 Integers pg. 88.
Algebra 1 Notes Lesson 4-1: The Coordinate Plane
Rectangular Coordinates;
Points, Lines, and Their Graphs
Graphing / Plotting Points Review
Graphs, Linear Equations, and Functions
Introduction to Graphing
Plotting Ordered Pairs Grade 6 Data Management Unit
1.
Cartesian Coordinate System
Coordinate Plane Sections 1.3,
Chapter 3 Section 1.
Chapter 1: Lesson 1.1 Rectangular Coordinates
Graphing Linear Equations
Chapter 1 Graphs, Functions, and Models.
The Distance and Midpoint Formulas
Graphs of Equations © 2002 by Shawna Haider.
Graphing Linear Functions
Objective - To graph ordered pairs on the coordinate plane.
Chapter 3 Graphs and Functions.
2.3 Graph Equations of Lines
#learning Today we will review the principles of graphing and Cartesian plane. So that we are ready to build our knowledge on linear functions and relations.
Solving Equations 3x+7 –7 13 –7 =.
Introduction to Graphing
The Distance and Midpoint Formulas
Rectangular Coordinates
Sullivan Algebra and Trigonometry: Section 2.1
Warm-Up
To Start: Simplify the following: -5(2)(-4) -4(-3)(6) -6(2)(-1) = 40
The COORDINATE PLANE The COORDINATE PLANE is a plane that is divided into four regions (called quadrants) by a horizontal line called the x-axis and a.
The Distance & Midpoint Formulas
Presentation transcript:

Rectangular Coordinates; Introduction to Graphing Equations Section 1.1 Rectangular Coordinates; Graphing Utilities; Introduction to Graphing Equations

Rectangular or Cartesian Coordinate System y axis x axis origin Rectangular or Cartesian Coordinate System

Let's plot the point (-3,-5) Let's plot the point (0,7) (6,4) (-6,0) (-3,-5) Let's plot the point (-3,-5) Let's plot the point (0,7)

Quadrant II x < 0, y > 0 Quadrant I x > 0, y > 0 Quadrant III x < 0, y < 0 Quadrant IV x > 0, y < 0

Find the coordinates of the point shown Find the coordinates of the point shown. Assume the coordinates are integers. (-2, 2)

OBJECTIVE 1

Find the distance d between the points P1(2, 5) and P2(4, 8)

Find the length of the line segment shown.

A = (– 4, – 1), B = (1, 11), and C = (1, – 1)

OBJECTIVE 2

Find the midpoint of a line segment from P1 = (3, -5) to P2 = (1, 7) Find the midpoint of a line segment from P1 = (3, -5) to P2 = (1, 7). Plot the points P1 and P2 and their midpoint.

OBJECTIVE 3

Equations in Two Variables 2x +y = 6 x2 + y2 = 16 y = x2 y = x3 _ 2x2 _ 5x +5

Determine if the following points are on the graph of the equation - 3x + y = 6 (b) (2, 0) (c) (-1, 3)

OBJECTIVE 4

Solve for y: – 6x + 2y + 3 = – 1

OBJECTIVE 5

OBJECTIVE 6

.

OBJECTIVE 7