How do you find the slope given (8,17) and (14,-17)?

1 Answer
Jul 13, 2016

-17/3

Explanation:

Slope (gradient) ->("change in the y-axis")/("change in the x-axis")

Think of the gradient of a hill.

Let Point 1->P_1->(x_1,y_1) = (8,17)

Let Point 2->P_2->(x_2,y_2)=(14,-17)

Let the slope (gradient) be m

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
->("change in the y-axis")/("change in the x-axis") ->(y_2-y_1)/(x_2-x_1)

=>m" "=" "(-17-17)/(14-8)" "=" "(-34)/6

But -34/6" " =" " -(34-:2)/(6-:2)" " =" " -17/3