Respuesta :

Solution :

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

Here, m is the slope 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 :

3m = 2

[tex]m = \dfrac{2}{3}[/tex]  and [tex]c = -6[/tex]

Therefore, y-intercept is -6 .