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 :
[tex]m = \dfrac{2}{3}\ and \ y = - 6[/tex]
Therefore, the gradient for the given x-y table is [tex]\dfrac{2}{3}[/tex] .
