Question

Consider the following.

Answer 1

Answer:

(-8, 7); x + y = 13 → y= -x + 13

parallel lines have the same slope. slope is -1

y = -x + b

7 = -(-8) + b

7 = 8 + b

b = -1

(a) y = -x - 1

perpendicular lines have opposite slopes. slope is 1/2.

y = -1/2x + b

7 = -1/2(-8) + b

7 = 4 + b

b = 3

(b) y = -1/2x + 3