# What is the slope of the line between (6,9) and (18, -2 )?

The gradient is

As it is a negative slope it shows that it's gradient is downwards as you move from left to right.

Put in simple terms: It is the amount of 'up or down' for one along.

Let the gradient (slope) be m

Note the positive gradient is an upwards slope whilst a negative gradient is a downward one.

It is more precise to keep this as a fraction.

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To find the slope of the line passing through two points, you can use the formula: ( m = \frac{y_2 - y_1}{x_2 - x_1} ). Substituting the coordinates of the given points, ( (x_1, y_1) = (6, 9) ) and ( (x_2, y_2) = (18, -2) ), into the formula yields: ( m = \frac{-2 - 9}{18 - 6} = \frac{-11}{12} ). Therefore, the slope of the line passing through the points ( (6, 9) ) and ( (18, -2) ) is ( -\frac{11}{12} ).

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