# How do you find the slope for (-3,4) (0,10)?

May 22, 2016

#### Explanation:

The slope is the change in the up or down for a given change in along, when reading left to right.

Let point 1 be ${P}_{1} \to \left({x}_{1} , {y}_{1}\right) \to \left(- 3 , 4\right)$
Let point 2 be ${P}_{2} \to \left({x}_{2} , {y}_{2}\right) \to \left(0 , 10\right)$

Slope " "-> ("Change in y") / ("Change in x") -> ( y_2-y_1)/(x_2-x_2)

$= \frac{4 - 10}{0 - \left(- 3\right)} = \frac{- 6}{+ 3} = - 2$

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A negative slope (gradient) means that the graph has a downward slope (gradient) as you read left to right.