I don’t understand how to solve these last three problems. Can someone please help me?

Question

Determine whether the graphs of the given equations are parallel, perpendicular, or neither. (questions 6-8)

6.)
y = -2x + 3
2x + y = 7

A: Parallel
B: Perpendicular
C: Neither

7.)
y = -2x + 3
2x + y = 7

A: Parallel
B: Perpendicular
C: Neither

8.)
y = 4x - 2
-x + 4y = 0

A: Parallel
B: Perpendicular
C: Neither

Answer 1

the slopes of parallel lines are equal
the slopes of perpendicular lines multiply to give -1

6.) The slopes are -2 and -2
7.) The same problem!
8.) The slopes are 4 and 1/4

so, what do you think?

Answer 2

Oops!

7.)
y = x + 11
y = -x + 2

Answer 3

Thank You so much for your help Steve!