Hi Student!
Reading the question we can pull out specific bits of information that would help us find our answer. One of the bits of information that is useful is that we are trying to find the perpendicular line. However, in order to determine a line that is perpendicular to the other line we first need to determine the slope of the first line. Looking at the equation given, we can see that it follows the y = mx + b form where m is the slope and in this case our slope is 8.
Now that we have completed the information gathering, we can move onto the next part which is determining a slope that is perpendicular to that of the original line. In order to find that we first need to negate our slope which would turn our 8 into a -8. The second step that we need to do is take the reciprocal of the number which means that we basically flip the number and so we convert -8 into -1/8. Looking at the given options, there is none that match our answer so that either means that the question is wrong or the choices that are given are wrong.