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GRAPHS OF STRAIGHT LINES

GRAPHS OF STRAIGHT LINES. This presentation includes the worksheet: “ Graphs of straight lines (basic) ” available at: www.mathsguru.co.uk. y. x. TO DESCRIBE THE POSITION OF AN OBJECT WE CAN USE A SET OF AXES . Co-ordinates: ( 2 , 7 ). 2 along the x -axis ,

GRAPHS OF STRAIGHT LINES

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1. GRAPHS OF STRAIGHT LINES This presentation includes the worksheet: “Graphs of straight lines (basic)” available at: www.mathsguru.co.uk

2. y x TO DESCRIBE THE POSITION OF AN OBJECT WE CAN USE A SET OF AXES. Co-ordinates: (2, 7) 2 along the x-axis, 7 along the y-axis. x = 2, y = 7 Co-ordinates: (-6, 3) -6 along the x-axis, 3 along the y-axis. x = -6, y = 3

3. y x Every point has an x co-ordinate and a y co-ordinate. x + y = 8 When plotting a graph, we are interested in ALL those points whose co-ordinates satisfy some rule or other. For example, consider ALL those points whose co-ordinates add up to 8. ALWAYS label the graph! x y 0 8 1 7 2 6 3 5 etc. There are billions of such points!

4. y x We will plot 4 graphs on a single set of axes. Example 1. y = x y = 3x x y x y 0 0  0 0  3 3  6 2  -4 -4  -9 -3  y = 2x y = ½x x y x y 0 0  0 0  4 8  6 3  2 4  -8 -4 

5. y x Example 2. y = x + 2 y = 2x - 3 x y x y 2 0  -3 0  3 1  -1 1  4 2  1 2  y = x - 4 y = 3x - 5 x y x y -5 0  -4 0  -2 1  -3 1  1 2  -2 2 

6. Lines parallel to the x axis y 10 9 8 7 6 5 4 3 2 1 x 0 -10 1 2 3 4 5 6 7 9 10 -9 -8 -6 -4 -3 -2 8 -7 -5 -1 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 Lines parallel to the y axis Y = 8 Y = 4 Y = 2 Y = 0 Y = -3 Y = -8 x = 5 x = 9 x = - 4 x = - 7 x = 0

7. y x Plot the following 4 graphs on a single set of axes. Question 1. a) y = x b) y = x + 3 c) y = x + 6 d) y = x 4

8. y x Plot the following 4 graphs on a single set of axes. Question 2. a) y = 2x b) y = 2x + 3 c) y = 2x 1 d) y = 2x 3

9. y x Plot the following 3 graphs on a single set of axes. Question 3. a) y = 10  x b) y = 8  x c) y = 4  x

10. y x Plot the following 3 graphs on a single set of axes. Question 4. a) y = 3x b) y = 3x 3 c) y = 3x + 4

11. y x Plot the following 4 graphs on a single set of axes. Question 5. a) x + y = 9 b) x + y = 6 c) x + y = 3 d) x + y = 0

12. y x Plot the following 3 graphs on a single set of axes. Question 6. a) y = 10  2x b) y = 6  2x c) y = 9  3x

13. y x Plot the following 3 graphs on a single set of axes. Question 7. a) y = 8  x b) y = 8  2x c) y = 8  4x

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