Question

identify all the pionts that would lie on the line y=1/3x + 9. answer choices A: 0,9 B: -9,6 C: 3,10 D: 12,-5

Answer 1

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