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

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Answer 1 · 2016-06-24T15:35:01

#-2/3#

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#