Question

The following lines are parallel.
2x + 2y = 4 and y = -x + 5

True
False

Answer 1

two parallel lines will have the same slope

Answer 2

7x+2y=-4
2y=-7x-4
y=-7x/2 -2
slope = -7/2
PARALLEL LINE
slope will be the same = -7/2 point ( 6,-3)
find b
y = mx +b
-3 = -7/2 * 6 +b
-3=-21+b
b=18
the equation will be
y = -7x/2 + 18
...
PERPENDICULAR
slope = 2/7 point = (6,-3)
Find b
y=mx + b
-3 = 2/7 * 6 +b
-3-12/7 =b
(-21-12)/7 =b
-33/7 = b
y = 2x/7-33/7

Answer 3

you need to re-arrange the first equation into the form
y = mx + b

if the 2 equations then have the same value for m

then they are parallel