Answer:
D
Step-by-step explanation:
Two lines are parallel if they have the same slope.
the given equation is in the form
y=mx+b
where
m=-5/2
b=-7
m is the slope. You can see this by noting that if you increase x by 1 you increase y by m.
So, in this case, you are looking for a line with slope of -5/2.
You can solve each of the choice equations for y to see which one has the right slope.
A: y=(2/5)x-6 no good
B: y=-(2/5)x-1 no good
C: y=(5/2)x-4 no good
D: y=-(5/2)x-4 GOOD