Answer:
Step-by-step explanation:
How do we find the line that's perpendicular to another?
We find the negative reciprocal. So for example if our slope is 2, the negative reciprocal would be .
By the fundamental theorem of algebra, we can write
Expanding the right hand side, we get
We want to be an integer, which means must also be integers. This means must be factors of 10. There are several possibilities:
So there are 4 possible values for : -11, -7, 7, and 11.