Question

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

Answer 1

Slope (gradient) is -2

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 -> (x_1,y_1) -> (-3,4)`
Let point 2 be `P_2 -> (x_2,y_2) -> (0,10)`

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

`=(4-10)/(0-(-3)) = (-6)/(+3) = -2`

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