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Published byJulian Hostler Modified over 2 years ago

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STRAIGHT LINE GRAPHS y = mx + c

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STRAIGHT LINE GRAPHS ALL are of the form y = mx +c m is the GRADIENT of the line c is the ‘y intercept’

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STRAIGHT LINE GRAPHS We must to be able to DRAW THE GRAPHS FIND THE EQUATION FROM A GRAPH

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STRAIGHT LINE GRAPHS DRAWING THE GRAPHS WE NEED TO IDENTIFY TWO POINTS POINT 1 IS THE y INTERCEPT POINT 2 IS FOUND BY SUBSTITUTING A VALUE FOR x INTO THE FUNCTION

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STRAIGHT LINE GRAPHS If we use the example y = 3x - 1 The y intercept is -1 REMEMBER (y = mx + c) So point 1 is (0,-1) If we substitute x = 1 then y = so y = 2 So point 2 is (1,2)

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STRAIGHT LINE GRAPHS THE FINISHED GRAPH LOOKS LIKE THIS NOTE THE TWO POINTS CHOSEN

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STRAIGHT LINE GRAPHS NOW WE MUST LEARN HOW TO FIND AN EQUATION FROM A GRAPH

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STRAIGHT LINE GRAPHS WE CAN SEE THAT THE LINE CROSSES THE Y AXIS AT THE POINT (0,-4) SO ‘C’ IS -4 IF WE USE THIS GRAPH

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STRAIGHT LINE GRAPHS The gradient (m) is defined as

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STRAIGHT LINE GRAPHS We need to find m (the gradient) The change in y is 4 The change in x is 2 We need to find the change in y We need to find the change in x

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STRAIGHT LINE GRAPHS Since the gradient is defined as The gradient is So m = 2

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STRAIGHT LINE GRAPHS As y = mx + c We know the equation of the line is y = 2x - 4

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STRAIGHT LINE GRAPHS Click here to draw graphs Click here to re-start the presentation

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