Question

X

Which of these points are on a line that has a slope of -3?.
(9, 2), (4,3)
(2,9), (4,3)
(9, 2), (3, 4)
(2,9), (3, 4)

Answer 1

Answer: (2, 9), (4, 3)

Explanation:

`\text{The slope formula is: }m=(y_2-y_1)/(x_2-x_1)\\\\\\(x_2, y_2)=(9, 2)\quad and \quad (x_1, y_1)=(4, 3): m=(2-3)/(9-4)\quad =-(1)/(5)\\\\\\(x_2, y_2)=(2, 9)\quad and \quad (x_1, y_1)=(4, 3): m=(9-3)/(2-4)\quad =(6)/(-2)\quad =\large\boxed{-3}\\\\\\(x_2, y_2)=(9, 2)\quad and \quad (x_1, y_1)=(3, 4): m=(2-4)/(9-3)\quad =(-2)/(6)\quad =-(1)/(3)\\\\\\(x_2, y_2)=(2, 9)\quad and \quad (x_1, y_1)=(3, 4): m=(9-4)/(2-3)\quad =(-5)/(1)\quad =-5`