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## 'How Steep Is the Slope?' printed from http://nrich.maths.org/

#### The gradient of a line tells us how far up or down we go when
we take one step to the right:

On a grid like the one below we can draw lines with different
gradients.

Check you agree that the black line is one of several that could be
drawn with a gradient of 2 and the red line is one of several that
could be drawn with a gradient of $-\frac{2}{3}$

Picture some more lines with different gradients. You may want to
use

this sheet
to record your
working.

#### How many different gradients can you find? Can you find them
all?

#### Arrange them in order of steepness and list the points each
line passes through.