What is the equation of the line, in slope-intercept form, that passes through (3, -1) and (-1, 5)?

Using the point-slope form (y - y₁) = m (x - x₁)

m= gradient = Δy/Δx
                    
                    = 
 
                    =  -

midpoint of the line = 
                               =  
 
                               = (1 , 2)

Using the formula, plug in the values for m = 3/2,  y₁= 2 , x₁= 1

       (y - 2) = 3/2 (x - 1)

        y - 2 = 

⇒    

⇒    

by multiplying through by 2,

⇒  2y  - 3x = 1