Find an equation in slope intercept form of the line. Through points (5,3) and (-1,4)

Answer 1

slope M = (4 -3)/(-1 - 5) = 1/(-6) = -1/6

using (5,3)

B = y- mx = 3 - (-1/6)(5) = 3 - (-5/6) = 3 + 5/6 = (18+5)/6 = 23/6

y = (-1/6)x + 23/6

note that when x=5, y = (-1/6)(5) + 23/6 = -5/6 + 23/6 = 18/6 = 3, so (5,3)

and when x=-1 , y = (-1/6)(-1) + 23/6 = 1/6 + 23/6 = 24/6 = 4 , so (-1,4)

So the equation of the line, in bold above, is 100% correct