Two equivalent equations of the line in point slope form for (-4,8) and (0,5)

Answer:Equation of line 1  is 3 X - 4 Y = 20Equation of line 2 is 3 X  + 4 Y = 20Step-by-step explanation:Given co ordinates of points as,( -4 , 8)  and (0 , 5)From the given two points we can determine the slop of a line I. e slop (m) = [tex]\frac{(y2 - y1)}{(x2 - x1)}[/tex] Or,           m  = [tex]\frac{(5 - 8)}{(0 + 4)}[/tex]So,           m = [tex]\frac{(-3)}{(4)}[/tex]Now equations of line can be written as , Y - y1 = m ( X - x1)At points ( -4 , 8)Y - 8   = [tex]\frac{(-3)}{(4)}[/tex] (X + 4)So , Equation of line 1  is 3 X - 4 Y = 20Again with points ( 0 , 5)Y - 5   = [tex]\frac{(-3)}{(4)}[/tex] ( X - 0)So, Equation of line 2 is 3 X  + 4 Y = 20Hence Equation of line 1  is 3 X - 4 Y = 20  and Equation of line 2 is 3 X  + 4 Y = 20   Answer