Question

what are the perpendicular & parallel equations of line y=-8/3x+9 passes which through (-8,5)

Answer 1

Parallel: lines will have the same slope
Perpendicular: lines will have slopes that are inverse reciprocals of one another

Parallel will be of form: y = -8/3x + b
Solving for b using point given:
5 = -8(-8)/3 + b
5 = 64/3 + b
15/3 = 64/3 + b
b = -49/3
Equation of the line is: y = -8/3 x - 49/3

Perpendicular will be of form: y = 3/8x + b
5 = -8(3)/8 + b
5 = -24/8 + b
5 = -3 + b
b = 7
Equation of the line is: y = 3/8x + 7

Answer 2

apparently the perpendicular one is incorrect

Answer 3

the b was 8

Answer 4

Yea, my apologies, you can see my poor algebra thinking 5+3 = 7 xD