9514 1404 393
Answer:
(a) y = 1/2x -2
Explanation:
You can quickly determine that none of the equations with ±2x will work by trying the second point, (6, 1), in them. This only leaves ...
y = 1/2x -2
__
Or, you can use the slope formula ...
m = (y2 -y1)/(x2 -x1)
m = (1 -(-1))/(6 -2) = 2/4 = 1/2
This tells you the equation will be of the form ...
y = 1/2x +b
Only one choice matches:
y = 1/2x -2