First find the new coordinates for P and Q after the translations:
P'(2 + 3, 4 - 4) = P'(5, 0)
Q'(-3 + 3, 2 - 4) = Q'(0, -2)
Now, find the slope from this:
(0 - (-2))/(5 - 0) = 2/5
The slope has remained the same. It is important to note that after any translation, the slope will always remain the same. However, this is not always so for rotations and reflections.
The equations are parallel because the slopes are opposite reciprocals, which means if you flip -3/2 and multiply by -1 you get 2/3.
Answer:

Step-by-step explanation:
One-fourth x + 2 = 

Next, we Expand the Left hand Side by multiplying each term in the bracket by 1/4

Bringing terms with x to the left Hand Side i.e. collecting like terms

On Cross multiplying
7x = -7 X 8

x=-8
Answer:
B
Step-by-step explanation:
i think
Answer:
x=32
Step-by-step explanation: