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Published byAaliyah Cobb Modified over 2 years ago

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Starter Questions Factorise 5x + 10

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Learning Intention To explain and draw straight lines of the form y = mx + c. The Straight Line Equation

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x y By calculating the gradient of each line, write down the equation of the line

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The Straight Line Equation Line 1 Gradient = vertical height horizontal distance = 4 1 = 4 Equation of line is y = 4x Line 2 Gradient = vertical height horizontal distance = 3 2 Equation of line is y = 3x 2 Line 3 Gradient = vertical height horizontal distance = 2 2 = 1 Equation of line is y = x

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The Straight Line Equation Line 4 Gradient = vertical height horizontal distance = 1 2 Equation of line is y = 1x 2 Line 5 Gradient = vertical height horizontal distance = 1 4 Equation of line is y = 1x 4

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The Straight Line Equation All the lines we have previously looked at all passed through the origin at (0,0) i.e. y = 2x, y = 3x, y = ½x, y = 5x etc… Gradient = 2 Gradient = 3 Gradient = 5 Gradient = ½ What about straight lines that do not pass through the origin

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The Straight Line Equation Example Draw the line of y = 2x on a suitable coordinate diagram x y x y On the same diagram, draw the graph of y = 2x + 2 x y =2=4=6=8=10 What do you notice about the second line? Same gradient, but slightly higher up y = 2x y = 2x + 2 2(0)+2 2(3)+22(4)+2

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The Straight Line Equation Example Draw the line of y = x on a suitable coordinate diagram x y x y On the same diagram, draw the graph of y = x + 4 x y What do you notice about the second line? Same gradient, but slightly higher up y = x y = x + 4

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x y y = x y = 2x + 3 y = 3x+1 y = x - 3 xyxy xyxy xyxy xyxy The Straight Line Equation On your 4 quadrant diagram, Draw the lines of the given equations.

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x All straight lines have the equation of the form y = mx + c Gradient Where line meets y-axis y Straight Line Equation Find the equations of the following lines y = xy = x+4 lines are parallel if they have the same gradient y = 4x+2 y = -0.5x+2

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Now try Ex 4 Ch6 Page 73 Start at Q4 Straight Line Equation

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