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Y = mx + c Starter Activity: Guess the Rule 0 1 2 3 -4 y = 2x + 2 2 4 6 8 6 xy 0 1 2 3 -4 y = 2x + 1 -2 1 4 7 -14 xy.

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Presentation on theme: "Y = mx + c Starter Activity: Guess the Rule 0 1 2 3 -4 y = 2x + 2 2 4 6 8 6 xy 0 1 2 3 -4 y = 2x + 1 -2 1 4 7 -14 xy."— Presentation transcript:

1 y = mx + c Starter Activity: Guess the Rule y = 2x xy y = 2x xy

2 y = mx + c Starter Activity: Guess the Rule y = 10x xy y = 4x xy

3 y = mx + c Starter Activity: Guess the Rule y = 5x xy y = -2x xy

4 OBJECTIVE: By the end of the lesson you should… …be able to … … find the equation for any linear graph from the diagram (All pupils) … find the equation of any line given any two points on the line (Most pupils) … use these skills to interpret real life problems (Some pupils)

5 x y Straight Line Graphs (y = mx + c) m gives the gradient of the line and c gives the y intercept. All straight line graphs are of the form y = mx + c The gradient is defined as the Change in y Change in x ch y = 2 ch x = 1 y intercept = 3 y = 2x + 3

6 x y Straight Line Graphs (y = mx + c) m gives the gradient of the line and c gives the y intercept. All straight line graphs are of the form y = mx + c The gradient is defined as the Change in y Change in x ch y = 3 ch x = 1 y intercept = -4 y = 3x - 4

7 x y Straight Line Graphs (y = mx + c) m gives the gradient of the line and c gives the y intercept. All straight line graphs are of the form y = mx + c The gradient is defined as the Change in y Change in x ch y = 1 ch x = 2 y intercept = 1 y = ½x + 1

8 x y Straight Line Graphs (y = mx + c) m gives the gradient of the line and c gives the y intercept. All straight line graphs are of the form y = mx + c The gradient is defined as the Change in y Change in x ch y = 1 ch x = 3 y intercept = -5

9 x y Straight Line Graphs (y = mx + c) m gives the gradient of the line and c gives the y intercept. All straight line graphs are of the form y = mx + c The gradient is defined as the Change in y Change in x ch y = 3 ch x = 4 y intercept = 2

10 x y Straight Line Graphs (y = mx + c) m gives the gradient of the line and c gives the y intercept. All straight line graphs are of the form y = mx + c The gradient is defined as the Change in y Change in x ch y = 4 ch x = 5 y intercept = 3

11 Key Questions: Find the formulae for these Real Life Problems (1)A taxi firm has a formula for working out fares It is in the form P=mN + cP=Price N = No. miles A 0 mile journey costs £2 A 2 miles journey costs £6 (2)A taxi firm has a formula for working out fares It is in the form P=mN + cP=Price N = No. cards 60 cards cost £ cards cost £255 Hint: If it helps then quickly sketch the graphs with N going across and P going up

12 OBJECTIVE: Have you met your lesson objectives? Are you able to … … find the equation for any linear graph from the diagram (All pupils) … find the equation of any line given any two points on the line (Most pupils) … use these skills to interpret real life problems (Some pupils)


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