1 of x Plotting two variable equations Mathematics for A-level Science Copyright © AQA and its licensors. All rights reserved.

Slides:



Advertisements
Similar presentations
QUADTRATIC RELATIONS Standard Form.
Advertisements

GCSE: Straight Line Equations
Graphing Linear Equations. Identifying a Linear Equation A linear equation is any equation that can be put in the form... Ax + By = C... where A, B, and.
Graphing the Set of All Solutions ~adapted from walch education.
Graphing Linear Equations in Two Variables The Graph of a linear equation in two variables is the graph of all the ordered pairs (x,y) that satisfy the.
Graphing Linear Equations
Solve for “y” for each: 1.) 2x + y = 9 2.) -x = y ) 2y – 4 = 3x 4.) 2 = y – ⅓x 5.) 7x – y = -8 6.) 3y – 1 = -3x -2x -2x - 3.
R Functions in one variable can be represented by a graph. R Each ordered pair (x, f(x)) that makes the equation true is a point on the graph. R Graph.
9.3 Graphing Quadratic Functions
Objectives: Represent linear patterns with equations. Represent linear equations with graphs. Standards Addressed: G: Represent relationships with.
SOLUTION STEP 1 Use intercepts to graph an equation EXAMPLE 2 Graph the equation x + 2y = 4. x + 2y = 4 x =  x- intercept 4 Find the intercepts. x + 2(0)
GRAPHING QUADRATIC FUNCTIONS
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.
An Introduction to Straight Line Graphs Drawing straight line graphs from their equations. Investigating different straight line graphs.
1 of x Ratios Mathematics for A-level Science Copyright © AQA and its licensors. All rights reserved.
Copyright © 2013 Pearson Education, Inc. Section 3.2 Linear Equations in Two Variables.
GRAPH Definition: A PICTORIAL REPRESENTATION OF INFORMATION RECORDED IN A DATA TABLE. USED TO SHOW A RELATIONSHIP BETWEEN TWO OR MORE FACTORS.
Complete Graph. What is wrong with the Graph? The graph needs to have numeric labels on the axes. We can not determine a coordinate without them. Does.
P ROPORTIONALITY USING G RAPHS AND T ABLES February 2013.
Aim: Graphing Linear Equations Course: Applied Geo. Do Now: Fill in the missing values for the table below: Aim: How do we graph a linear equation in.
Equations, Symbols and Graphs Unit 1 – Introduction to Physics.
7.3 Linear Equations and Their Graphs Objective: To graph linear equations using the x and y intercepts To graph horizontal and vertical lines.
Graphing Linear Equations
Equations of Straight Line Graphs. Graphs parallel to the y -axis All graphs of the form x = c, where c is any number, will be parallel to the y -axis.
Bell Work 1.What is a rectangular coordinate system? Make one and label everything you can think of 2. Plot (0,0) (3,2) (-2,0) (0,-5) (-2,-1) on the rectangular.
Drawing Polygons on a Coordinate Plane March 30, 2016 Ms. Rodriguez.
Content Standards A.CED.2 Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with.
1 of x Indices Mathematics for A-level Science Copyright © AQA and its licensors. All rights reserved.
1 of 26 Copyright © AQA and its licensors. All rights reserved. Graphs Mathematics for GCSE Science.
Proportionality using Graphs and Tables
What is the slope of (10, 4) and (20,3)?
Graphing Linear Equations
Digital Lesson Graphs of Equations.
Rules for Graphing.
Section 3.6 Functions.
3.1 Graphing.
3.1 Graphing Linear Equations
Mathematics for A-level Science
Maths Solving Quadratics Graphically
Basic Graphing Techniques
Mathematics for A-level Science
Any two equations for the same line are equivalent.
Information on AQA Science 2013
2.1 Graphs of equations.
Coordinate Planes 2.2 I can identify the paths between points on a grid or coordinate plane and compare the lengths of the paths. 3.6 I can understand.
Graphing Review.
GRAPHS AND RELATIONSHIPS
Graphing Linear Equations
Graphing Equations TeacherTwins©2014.
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
Maths Solving Quadratics Graphically
4.1 – plotting points Textbook pg. 61 Objective:
4.3 Graphing Equations of Lines From Intercepts
Graphing Linear Equations
Graphing.
Proportionality using Graphs and Tables
Functions and graphs Sec 7 1-C pg
4.2 Part 2 Horizontal and Vertical Lines
Objective- To use an equation to graph the
x − 7 = 13 m − 9 = −13 m + 4 = −12 Ticket in the Door
y x y = x + 2 y = x + 4 y = x – 1 y = 6x – 3 y = 2x y = ½x y = 3x + 1
Solutions of Linear Functions
Graphing with X- and Y-Intercepts
Lesson 1.7 Represent Functions as Graphs
x − 7 = 13 m − 9 = −13 m + 4 = −12 Ticket in the Door
Objective- To graph a relationship in a table.
Graphical Relationships
Aim: How do we graph lines using a table?
Linear Equations Chapter 2/unit
Presentation transcript:

1 of x Plotting two variable equations Mathematics for A-level Science Copyright © AQA and its licensors. All rights reserved.

2 of x Why is plotting important? Copyright © AQA and its licensors. All rights reserved. Plotting equations gives us a sense of what a relationship looks like. We can then easily see properties of the equation as well as compare it to other equations. a : y = 3x + 4 b : y = x 2 – 2x – 3

3 of x Plotting equations – A table of values Copyright © AQA and its licensors. All rights reserved. xy xy Example

4 of x Plotting an equation from a table of values Once you have completing your table of values, draw neatly and label a pair of axis. Copyright © AQA and its licensors. All rights reserved. Once you have done this, plot the coordinates present in your table of values onto the graph. If they form a straight line, use a ruler to connect the coordinates. Otherwise, draw a curve freehand. xy

5 of x Example: GCSE Mathematics Copyright © AQA and its licensors. All rights reserved.

6 of x Example: GCSE Mathematics Copyright © AQA and its licensors. All rights reserved

7 of x Example: GCSE Mathematics Copyright © AQA and its licensors. All rights reserved.

8 of x Example: GCSE Mathematics Copyright © AQA and its licensors. All rights reserved.

9 of x Exam paper example: GCSE Mathematics Copyright © AQA and its licensors. All rights reserved.

10 of x Exam paper example: GCSE Mathematics Copyright © AQA and its licensors. All rights reserved. -5 3