The equation for a straight line​ (deterministic model) is y=β0+β1x. If the line passes through the point (−10,10)​, then x = −10​, y = 10 must satisfy the​ equation; that​ is, 10=β0+β1(−10)....

The equation for a straight line​ (deterministic model) is y=β0+β1x.

If the line passes through the point (−10,10)​, then x = −10​, y = 10 must satisfy the​ equation; that​ is, 10=β0+β1(−10).

​Similarly, if the line passes through the point (3,12)​, then x = 3​, y = 12 must satisfy the​ equation; that is, 12=β0+β1(3).

Use these two equations to solve for β0 and β1​; then find the equation of the line that passes through the points (−10,10) and (3,12).

A. Find β0 and β1.

β1 =

β0 =

​(Simplify your answers. Type integers or simplified​ fractions.)