Question

what is the gradient for the table x y
-6 -10
-3 -8
3 -4
6 -2

Answer 1

Solution :

Let, equation of line is y = mx + c .

Here, m is the slope( or gradient ) of the line and c is the y-intercept .

Putting point ( -6, -10 ) in above equation, we get :

-10 = -6m + c  ...1)

Also, putting point ( -3, -8 ) in above equation, we get :

-8 = -3m + c ...2)

Solving equation, 1) and 2) we get :

$m = \dfrac{2}{3}\ and \ y = - 6$

Therefore, the gradient for the given x-y table is $\dfrac{2}{3}$ .