geometry and slope

Question

what are the slopes of line r and line s and are lines r and s perpendicular? line r:2y-2=x line s:y+2x=8

a. yes they have opposite reciprocal slopes

b. yes they have the same slope

c. no slopes area not the same

d. no they will cross

Answer 1

express equations in y = mx + b form (where m is the slope):

r: 2y - 2 = x

2y = x + 2

y = 1/2 (x) = 1

slope is 1/2

s: y + 2x = 8

y = -2x + 8

slope is 2

the slopes are negative reciprocals of each other (A)