Write the equation of the line that it is perpendicular to 5x + 8y = 16 and passes through (-5,7)
Here is a hint for you. If two lines are perpendicular, the product of their slopes is -1. With this hint, try finding the slope of the other equation and plugging in x=-5 and y=7 to get the y intercept! :D
If this is still confusing, I can give you another hint or a full solution.