Answer:
C: The Same Line
Step-by-step explanation:
So to start we need to first know what makes lines parallel or perpendicular. Two parallel lines will have the same slope, but different y-intercepts because we know they never cross. Two perpendicular lines will have opposite-reciprocal slopes, because we know that they intersect at a right angle.
Then, we need to know the slope-intercept form of an equation. The slope intercept form is
where
is the slope of the line and
is the y-intercept. We can see that neither equation is in this form, so we have to convert it.
Starting with the first, (I assume despite the typo) we have 
So we need to isolate the
from everything else.
First, we'll subtract
from both sides of the equal sign to get 
Second, we'll divide both sides by
to get 
This means that
is the slope and
is the y-intercept of the first line.
Now onto the second we have
so we're going to follow the same steps to isolate
.
First, we'll subtract
from both sides to get 
Second, we'll divide both sides by
to get 
This means that
is the slope and
is the y-intercept of the second line.
Since both of the lines have a slope
we know that they are parallel, so we need to check to check if they're the same by looking at the y-intercept. We can see that
is the y-intercept of both lines, so they would be the same line.