Answer: Option C.
Step-by-step explanation:
To solve this problem you must apply the proccedure shown below:
1. You have the point (4,12), therefore, to know which equation will not contain that point, you must substitute x=4 into each equation and if it contains the given point, you will obtain y=12.
2. Therefore, you have:
[tex]A.\ y=\frac{3}{4}(4)+9=12\\B.\ y=-\frac{1}{2}(4)+14=12\\C.\ y=\frac{1}{2}(4)+8=10\\D.\ y=(-2)(4)+9=12[/tex]
3. When you substitute x=4 into the equation of the option C, you obtain that y=10, therefore, that equation will not contain the point (4, 12).
