Answer:
Step-by-step explanation:
Let's start by rearranging both into a standard format of y = mx + b, where m is the slope and b the y-intercept. The value of the slopes will tell us whether they are parallel, perpendicular, or neither.
Equation 1: 5 + 10x = 8y
8y = 5 + 10x
y = (5/4)x + (5/8)
Equation 2: 8x + 10y = -7
8x + 10y = -7
y = - (4/5)x - (7/10)
The slope in Eq. 2 is the negative inverse of the slope in Eq. 1. These lines are perpendicular.
See attachment.