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maths 4 Scotland www. maths 4 scotland. co. uk HIGHER MATHS The Straight Line Part 2 The Gradient of a line Next

maths 4 Scotland www. maths 4 scotland. co. uk Unit 1 – Chapter 1 The Straight Line By the end of this lesson you should know how to find: • The gradient of a line using the gradient formula • The angle between a line and the x-axis You should be able to recognise and illustrate: • Positive and negative gradients • Gradients parallel to the x and y axes

maths 4 Scotland www. maths 4 scotland. co. uk The Gradient of a Line y Slope B or Rise Steepness A 5 Run 2 x Gradient = Rise Run

maths 4 Scotland www. maths 4 scotland. co. uk The gradient of a straight line – a formula Rise over Run y B y 2 y 1 A x 1 x 2 Gradient Formula x

maths 4 Scotland www. maths 4 scotland. co. uk An example B A

maths 4 Scotland www. maths 4 scotland. co. uk Remember A negative gradient slopes down from left to right A negative gradient B The gradient formula will take care of this

maths 4 Scotland www. maths 4 scotland. co. uk An example A B Leave gradients as fractions

maths 4 Scotland www. maths 4 scotland. co. uk An example A B Take care with negative signs - use brackets

maths 4 Scotland www. maths 4 scotland. co. uk Note The gradient of a straight line B A Gradient Formula

maths 4 Scotland www. maths 4 scotland. co. uk Gradient and the angle B y opposite A this is the gradient adjacent x So,

maths 4 Scotland www. maths 4 scotland. co. uk An example B A

maths 4 Scotland www. maths 4 scotland. co. uk Gradient and the angle Note B opposite A So, adjacent this is the gradient

maths 4 Scotland www. maths 4 scotland. co. uk Note The anti-clockwise angle between a line and the positive direction of the x-axis OX O If the gradient is negative, angle will be obtuse x

maths 4 Scotland Note Parallel Lines have the same gradient Lines with the same gradient are parallel Gradient of a line parallel to x-axis is 0 parallel to y-axis is undefined sloping down left to right is negative www. maths 4 scotland. co. uk

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