Coordinates Picture For each instruction, join up the

Coordinates Picture For each instruction, join up the

Coordinates Picture For each instruction, join up the coordinates. Do not join one instruction to the next. a. (1, 3) (0, 3) (0, 5) (2, (10, 5) (10, 3) (8, 3) b. (6, 2) (6, 4) (8, 4) (8, c. (1, 2) (1, 4) (3, 4) (3, d. (3, 3) (6, 3) e. (2, 5) (3, 6) (6, 6) (7, 7) (6, 7) (7, 6) 2) (6, 2) 2) (1, 2) 5) (2, 5) Given an equation, we can find coordinate points for that equation by constructing a table of values. Suppose we want to plot points for: y=x+3 We can use a table as follows: x 3 2 1 0 1

2 3 y = x +3 0 1 2 3 4 5 6 (2, 5) (3, 6) (3, 0) (2, 1) (1, 2)

(0, 3) (1, 4) x 1) Complete a table of values: 3 2 1 0 1 2 y = x +3 2) Plot the points on a coordinate grid. 0 1 3

2 4 3 5 6 (3, 0) (2, 1) (1, 2) (0, 3) (1, 4) (2, 5) (3, 6) y 3) Draw a straight line through the points. 1 0 9 8 4) Label the line. y=x+3 7 6 5 4 3

2 1 10 9 8 7 -6 -5 -4 -3 -2 0 -1 1 2 3 -4 -5 -6 -7

-8 -9 1 0 1 2 3 4 5 6 7 8 9 1 0 x x 1) Complete a

table of values: 3 2 y = 3x + 1 -8 1 -5 0 -2 1 1 2 4 3 10 7 (-3, -8)(-2, -5)(-1, -2) (0, 1) (1, 4) (2, 7) (3, 10) y

2) Plot the points on a coordinate grid. 1 0 9 3) Draw a straight line through the points. y = 3x + 1 8 7 6 4) Label the line. 5 4 3 2 1 10 9 8

7 -6 -5 -4 -3 -2 0 -1 1 2 3 -4 -5 -6 -7 -8 -9 1 0 1 2

3 4 5 6 7 8 9 1 0 x x 3 2 1 0 1

2 3 1) Complete a table of values: 2) Plot the points on a coordinate grid. y 1 0 9 3) Draw a straight line through the points. 8 7 6 4) Label the line. 5 4 3 2 1 10

9 8 7 -6 -5 -4 -3 -2 0 -1 1 2 3 -4 -5 -6 -7 -8 -9 1 0

1 2 3 4 5 6 7 8 9 1 0 x How confident do you feel with this topic? Write red, amber or green in your book! Complete the corresponding activity Finished? Sketch these in your book on your own axes! 5) y = 2x 4

6) y = 3x + 2 7) y = x Pair Activity Match the equations on the dominoes to the coordinates that are on the line! Hint: Draw a table of values for each question. Extension: Can you sketch any of them? How confident do you feel with this topic? Write red, amber or green in your book! Complete the corresponding activity What can you tell me about the following pairs of linear equations? y = 2x + 4 y = x + 4 y = x 3 y = -2x + 6 y = 3x + 2 y=x-1 y = 4x 2 y = 4x + 1 We are learning to calculate the equation of a linear graph from two coordinates.

What can you tell me about y = mx + c Gradient (the slope of the line) Y intercept (where the graph cuts the y-axis) Calculate the gradient of the line which passes through (2, 6) and (4, -2). Start by calculating the gradient. (2, 6) 8 rise =8 =4 run 2 2 (4, -2) The graph slopes downwards so the gradient is negative. m = -4 The gradient is rise run

But you also need to think about whether its +ve or ve. Calculate the gradient of the line which passes through (7, 12) and (15, 32). Start by calculating the gradient. (15, 32) 20 (7, 12) 8 rise =20 =5 run 8 2 The graph slopes upwards so the gradient is positive. m=5 2 The gradient is rise run But you also need to think about whether its +ve or ve. Calculate the gradients of the lines which pass through the following pairs of points (3, 6) and (5, 12)

(2, 6) and (10, 10) (4, 9) and (1, 15) (2, 1) and (5, 10) (-1, 3) and (3, -1) (2, 7) and (3, 4) (3, 5) and (5, 1) (4, 2) and (3, -4) (2, 1) and (-3, 5) (2, 7) and (6, -1) (3, 1) and (6, -8) (-2, 3) and (-5, -2) (4, 3) and (8, 5) (5, 8) and (1, 5) (6, -1) and (-3, 2) Remember to sketch each pair of coordinates and this about the sign!

Extension: Does the line y = 3x + 2 go through (-2, -3)? How do you know? Calculate the gradients of the lines which pass through the following pairs of points 3 -2 3 -1 -3 -2 6 -4/5 -2 -3 5/3

-3 Remember to sketch each pair of coordinates and this about the sign! Extension: No substitute x = -2 and y = -4, not -3 Find the equation of the line which passes through (2, 6) and (4, -2). We found earlier that the gradient was 4. We now need the y-intercept. y = -4x + c 6 = -4(2) + c 6 = -8 + c 14 = c y = -4x + 14 Substitute the gradient and one of the coordinates (x and y) into y = mx + c. Find the equation of the line which passes through (7, 12) and (15, 32). We found earlier that the gradient was 5. 2 We now need the y-intercept. y = 5x + c 2

12 = 5(7) + c 2 12 = 35 + c 2 -9 = c 2 y = 5x 9 2 2 Substitute the gradient and one of the coordinates (x and y) into y = mx + c. How confident do you feel with this topic? Write red, amber or green in your book! Complete the corresponding activity Finished? Complete the extension activity! RAG Answers 1) y = 2x + 4 2) y = 5x 2 3) y = 4x 14 4) y = 5x 1 5) y = -2x + 6 6) y = -x + 2 Spot the mistake

Find the equation of the line which passes through (9, 2) and (3, 7). rise =6 = 2 run 9 3 y = 2x + c 3 2 = 2(9) + c 3 2=6+c -4 = c y = 2x 4 3

Recently Viewed Presentations

  • Eastern Partnership Territorial Cooperation Programmes

    Eastern Partnership Territorial Cooperation Programmes

    strengthening cross-border contacts between local authorities, communities and civil society organisations so as to allow for the development of joint solutions to common social and economic development challenges. Thematic Coverage: Priorities.
  • 1 Starting a Biotech Program 2 Instructors Stan

    1 Starting a Biotech Program 2 Instructors Stan

    Restriction Analysis of Lambda DNA Use restriction enzymes and gel electrophoresis to analyze DNA Crime Scene Investigator PCR Basics™ Students learn to use the polymerase chain reaction (PCR) and DNA electrophoresis to determine the genotypes of 5 DNA samples Simulate...
  • svs.gsfc.nasa.gov

    svs.gsfc.nasa.gov

    Recurring Slope Lineae in Hale Crater. These dark, narrow, 100 meter-long streaks called recurring slope lineae flowing downhill on Mars are inferred to have been formed by contemporary flowing water. Recently, planetary scientists detected hydrated salts on these slopes at...
  • Winter Safety - National Optical Astronomy Observatory (NOAO)

    Winter Safety - National Optical Astronomy Observatory (NOAO)

    Title: Winter Safety Author: Joseph M. Schwed, CSP Description: This presentation was designed to increase the individual's safety awareness level by providing information that will encourage the employee to change their behavior and decrease the chance for an unpleasant event.
  • Getting to Know Your Students Through Reflective Writing ...

    Getting to Know Your Students Through Reflective Writing ...

    It was a really proud moment for me when I was breezing through the final with barely any problems at all. I believe I only answered two questions incorrectly, so I still cannot believe that I did that well on...
  • SEG 2100 Software Design II

    SEG 2100 Software Design II

    Object-Oriented Software Engineering Practical Software Development using UML and Java Chapter 8: Modelling Interactions and Behaviour 8.1 Interaction Diagrams Interaction diagrams are used to model the dynamic aspects of a software system They help you to visualize how the system...
  • Hotel Waterpark Resort Industry Outlook

    Hotel Waterpark Resort Industry Outlook

    Hotel Waterpark Resort Industry Report 2008 USA Hotel Industry Performance USA Resort Performance Growth of Hotel Waterpark Resorts What's open, under construction, in development Profiles of Hotel Waterpark Resorts By rooms, size of waterpark and meeting space USA Lodging Outlook...
  • What is Science? - sisd.net

    What is Science? - sisd.net

    What is Science? What is Science? Science = Latin "to know" Inquiry is at the heart of science. Inquiry: search for information and explanation Two main processes: Discovery science Hypothesis-based science Discovery Science Describes nature through observation and analysis of...