Answer:
A
Step-by-step explanation:
perpendicular lines are the negative reciprocals of each other, and a pair of these lines intersects at 90 degrees.
Since you have y alone on one side of the equation......
Use substitution and plug in 1/2x-4 for y in the other equation.

Distribute

Combine like terms

Add 8 to both sides

Divide by 4
and 
Plug this value in for x

Simplify

Multiply everything by 8 and simplify

Divide.....

Your answers are:

A slope of any line parallel to y = x + 2 will be 1.
The slope of parallel lines are always equal. Since we do not see a number next to the x in the original equation, there is an assumed 1 there. Therefore any line that is parallel with it would also have to be 1.
Answer:
The answer is the second graph, Option 2