Answer: D. (7,3)
Step-by-step explanation:
Use y = mx+b to find the equation of the line.
y = 1/3x + b
plug (1,1) into the equation
1 = 1/3(1) + b
simplify
1 = 1/3 + b
subtract 1/3 from both sides
b = 2/3
now you can write your equation as
y = 1/3x+2/3
Plug in each coordinate point to the equation to see if it is on the line.
A. (0,0)
0 = 1/3(0)+2/3
simplify
0 = 2/3 —> not true
B. (4,3)
3 = 1/3(4) + 2/3
3 = 4/3 +2/3
3 = 6/3
3 = 2 —> not true
C. (6,3)
3 = 1/3(6) + 2/3
3 = 6/3 + 2/3
3 = 8/3 —> not true
D. (7,3)
3 = 1/3(7) + 2/3
3 = 7/3 + 2/3
3 = 9/3
3 = 3 —> this answer is correct
