Write an equation of the line The line through A(1, -5)  and B(-3,6)?

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First you have to find the slope (m) between points A & B using the equation m= δy/δx  m= (6 - [-5])/ (-3 - 1) → m= -11/4 Then you use the point-slope equation y – y1 = m(x – x1)You plug in for the values of y1, m and x1 you can choose any two x and y either from A or B in this case let’s choose A(1,-5)  So you end up with y-(-5)= -11/4(x-1) … to avoid fractions multiply everything by 4 and you get 4y + 20=-11(x-1)  You distribute -11 and later subtract 20 on both sides and you get 4y= -11x-9  Then to solve for y you divide both sides by 4 and your final answer is y= ¼(-11x-9)