Can you please explain How to find B0 and B2 in details.

The equation for a straight line (deterministic model) is y = [30 + 1x. If the line passes through the point ( 8,1), then x= 8, y = 1 must satisfy the equation; that is, 1 = [50 +[i1(- 8). Similarly, if the line passes through the point (5,2), then x = 5, y = 2 must satisfy the equation; that is, 2 = [30 + [51 (5). Use these two equations to solve for [30 and [31; then nd the equation of the line that passes through the points (- 8,1) and (5,2). Find [30 and [51. 1=l:| o=|:| (Simplify your answers. Type integers or simplied fractions.)