What is the equation of a line that passes through (−2,5) and (1,−4)

Answer 1

slope = m = "rise over run" = the change in y coordinates divided by the corresponding change in x coordinates = (5--4)/(-2-1) = 9/-3 = -3

y=mx + b where m= slope and b = y intercept

y =-3x + b , plug in either point to solve for b

5= (-3)(-2) + b

b =5-6 = -1

y=-3x -1 is the line through the two given points