To find out if the points lie on the line y = 1/3x + 9, plug in the x value of the coordinate into the equation and see if the y value results in the same number
A. (0,9)
y = 1/3x + 9 Plug in 0 for "x"
y = 1/3(0) + 9
y = 9 This point is on the line
B. (-9,6)
y = 1/3x + 9 Plug in -9 for "x"
y = 1/3(-9) + 9
y = -9/3 + 9
y = -3 + 9
y = 6 This point is on the line
C. (3,10)
y = 1/3x + 9 Plug in 3 for "x"
y = 1/3(3) + 9
y = 3/3 + 9
y = 1 + 9
y = 10 This point is on the line
D. (12, -5)
y = 1/3x + 9 Plug in 12 for "x"
y = 1/3(12) + 9
y = 12/3 + 9
y = 4 + 9
y = 13 This point is not on the line
Your answer is A, B, and C
