Order Pairs An introduction.

Slides:



Advertisements
Similar presentations
Slope or rate of change. X Y = 6 9 X Y
Advertisements

Ordered Pairs An ordered pair comes in the form (x,y) with x always first and y always second The x value refers to the numbers on the x axis The y value.
Defn: A relation is a set of ordered pairs. Domain: The values of the 1 st component of the ordered pair. Range: The values of the 2nd component of the.
10.6 Equations of Circles Advanced Geometry. What do you need to find the equation of a circle? Coordinates of the Center of the circle. Radius – Distance.
Objective - To graph linear equations using x-y charts. One Variable Equations Two Variable Equations 2x - 3 = x = 14 x = 7 One Solution.
Graphing Lines.  The best way to learn about lines is to work with them without a calculator.  We are going to practice graphing lines by finding our.
7.1 Graphing Linear Systems
4.2 Graphing linear equations Objective: Graph a linear equation using a table of values.
3.1 Solve Linear Systems by Graphing. Vocabulary System of two linear equations: consists of two equations that can be written in standard or slope intercept.
Warm-Up 5 minutes 1) On the coordinate plane, graph two lines that will never intersect. 2) On the coordinate plane, graph two lines that intersect at.
MIDPOINT FORMULA. Sometimes you need to find the point that is exactly between two other points. This middle point is called the "midpoint" which is the.
Advanced Algebra Notes
 A _____________________ is any set of ordered pairs that express a relationship.  A _____________________ is a relationship between two variables. This.
Functions and Graphs An introduction and overview.
December 3, 2012 Writing Linear Equations from a table and graph Warm-up: Ridiculous Joe’s Cell Company has a monthly cell phone plan that includes a $35.
Formula? Unit?.  Formula ?  Unit?  Formula?  Unit?
M. Pickens 2006 Slope. M. Pickens 2006 What is Slope? Slope is the rate of change of a line (change in y) (change in x)
+ Represent Relations and Functions. + Relation A relation is a mapping, or pairing, of input values with output values. The set of input values in the.
Reflections. Reflect the shape across the x axis Graph the following coordinates, then connect the dots (2,3) (2,5) (5,5) (5,6) (7,4) (5,2)(5,3) What.
10-1 An Introduction to Systems A _______ is a set of sentences joined by the word ____ or by a ________________. Together these sentences describe a ______.
Graphing Linear Equations In Standard Form Ax + By = C.
Graphing Linear Equations In Standard Form Ax + By = C.
Warm Up Solve each equation for y. 1.x = -4y 2.x = 2y x = (y + 3)/3 4.x = -1/3 (y + 1)
Algebra 1 Foundations, pg 382  Students will be able to solve systems of equations by graphing. You can make a table, use the formula r * t = d, or write.
Slope Formula. m = y₂ - y₁ x₂ - x₁ (x₁, y₁ ) and (x₂, y₂ ) Ordered pairs.
Unit 2-2 Slope. What is slope? The _________ of a line in a coordinate plane is a number that describes the steepness of the line. Any ____ points on.
$100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300.
Graphs and Applications of Linear Equations
Chapter 6 Conic Sections
Polar Coordinates r   Pole Polar axis.
COORDINATE GRAPHING.
7.1 Solving Systems of Equations by Graphing
Graphing in the Coordinate Plane
10.6 Equations of Circles Geometry.
Introduction to Functions
1.2 Introduction to Graphing Equations
2.4 Writing the Equation of a Line
(x2,y2) (3,2) (x1,y1) (-4,-2).
2.4 Writing the Equation of a Line
8/29/12 Writing the Equation of a Line
Slope and Rate of Change
Charts, Graphs & Cartoons
MATH 1310 Section 1.1.
7.2 Solving Systems of Equations Algebraically
9.6 Solving Systems of Equations by Graphing
2.5 Writing Equations in Slope Intercept Form
Bellwork Solve by graphing y < x + 2 y > -1/2x + 5.
Indicator 16 System of Equations.
Relations for functions.
Additional Example 2: Graphing Ordered Pairs Graph and label each point on a coordinate grid. A. L (3, 5) Start at (0, 0)
Slope  4 Ways: Graph Formula Ordered Pairs Table.
5.1 Solving Systems of Equations by Graphing
Use power series to solve the differential equation. y ' = 7xy
Objective - To graph linear equations using x-y charts.
MATH 1310 Section 1.1.
Midpoints and Distance
Substituting into formulae
Solutions of Linear Functions
MATH 1310 Section 1.1.
Graphing Linear Equations
1.2 Solving Linear Systems by Graphing
Chapter 9 Lesson 1 Graph a Line Using Intercepts pg. 677
Objective- To graph a relationship in a table.
Chapter 9 Lesson 1 Graph a Line Using Intercepts pg. 677
2.4 Writing the Equation of a Line
Systems of linear equations
Equations of Circles Advanced Geometry.
Nonlinear Systems of Equations
Point-Slope Form y – y1 = m(x – x1)
Line Graphs.
Presentation transcript:

order Pairs An introduction

Ordered Pairs _______________are the foundation for line graphing. A _____________consists of a series of ordered pairs that ____________ __________ data. line graph represents continuous

The ‘formula’ of an ordered pair: y (x,y) (x,y) x

(x,y) (5,6) 10 y 9 8 7 6 (5,6) 5 4 3 2 x 1 1 2 3 4 5 6 7 8 9

(x,y) 10 9 (9,9) 8 7 (9,9) 6 5 4 3 2 1 1 2 3 4 5 6 7 8 9

(x,y) 10 9 8 (5,8) 7 6 5 (5,8) 4 3 2 1 1 2 3 4 5 6 7 8 9

(x,y) 10 9 8 7 6 5 (1,3) 4 3 (1,3) 2 1 1 2 3 4 5 6 7 8 9