gradient of graph

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Calculating Gradient of a Graph

Prepared by,Rekha Morhan (5 Bakawali)

Physics

Gradients of straight-line graphs

•The gradient of a line is a measure of how steep the line is.•The gradient of a line can be positive, negative or zero if, moving from left to right, we have

y

x

a horizontal line

Zero gradient

y

x

a downwards slope

Negative gradient

y

x

an upwards slope

Positive gradient

•If a line is vertical its gradient cannot by specified.

x2 – x1

y2 – y1

the gradient =y2 – y1

x2 – x1

Finding the gradienty

x0

Formula:Formula:

The gradient =change in y

change in x

(1,4)

(-4,-1) (1,-1)

Calculation:m=(-1-4) (-4-1) = -5 -5 = 1

Calculation:m=(-1-4) (-4-1) = -5 -5 = 1

What is gradient of this graph?

Formula:Formula:

The gradient =change in y

change in x

Total: 3/3 marks

Find the gradient of this gradient.s

m = 7-2 10-0 = 1 2 = 0.5cms

m = 7-2 10-0 = 1 2 = 0.5cms

cm

Formula:Formula:

The gradient =change in y

change in x

Total: 3/3 marks

-1

THANK YOU

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