The answer is y = 3x + 6. I corrected it to 3x becuase it wouldn't work if it was -3x. If -3x is one of the choices then mark that as the answer.
which equation represents a line that passes through points (0, 6) and (2, 0)
y = -1/3x + 2
y = -1/3x + 6
y = -3x + 2
y = 3x + 6
We have to plug in the coordinates into the equation. If x or y solved from the equation equal a coordinate in the coordinates, then it will be the correct equation.
1) 6 = -1/3x + 2
-1/3x = 4
x = 12
This equation doesn't work. Even if the other pair works, it still doesn't satisfy (0,6).
2) 6 = -1/3x + 6
-1/3x = 0
x = 0
0 = -3x + 2
-3x = -2
x = 2/3
This equation doesn't work. Even if the other pair works, it still doesn't satisfy (2,0).
3) 6 = -3x + 2
-3x = 4
x = -4/3
This equation doesn't work. Even if the other pair works, it still doesn't satisfy (0,6).
4) 6 = 3x + 6
3x = 0
x = 0
0 = 3x + 6
3x = 6
x = 2
This equation works.