Question

How do you find the slope given (0,1) and (3,-1)?

Answer 1

`-2/3`

Explanation:

The slope is the amount of up or down for the amount of along.

so slope (gradient) `->("change in y")/("change in x")`

Let point 1 be `P_1->(x_1,y_1)=(0,1)`
Let point 2 be`P_2->(x_2,y_2)=(3,-1)`
Let gradient be `m`

`m->("change in y")/("change in x") ->(y_2-y_1)/(x_2-x_1) = ((-1)-1)/(3-0)`

`m=-2/3`

As the slope is negative it means that the graph goes down as you move from left to right.

So you move 3 along then 2 down `->-2/3`