Answer:
5/8
Step-by-step explanation:
To find a perpendicular line, it is important to first find the slope. Two points are given, so the slope can be found by using the slope formula. However, it is also possible to find the slope by counting the differences. Slope is rise over run. That means the change in y over x. Therefore, since the y-value increases by 8 and the x-value decreases by 5, the slope is -8/5.
Perpendicular lines have opposite and reciprocal slopes. This means that if the slope for a line is a/b, then the perpendicular slope with be -b/a. Thus, the slope of line g is 5/8.