What is the equation to the line perpendicular to the given equation using the given points

The line we generate will have a negative reciprocal slope to the given one = 3/5

Using the point slope formula, we have

y - 7 = (3/5)[ x - (-8) ] 

y - 7  = (3/5) [ x + 8 ]     distribute the 3/5 over the terms in the brackets

y - 7  = (3/5)x + 24/5     add 7 to both sdes

y = (3/5)x + 59/5