the problem reads:

Write the equation of the line which passes through the point (2,1) and is parallel to another line with equation y = (5)/(2) x + 6

the answer i get is the following is this correct though

y = (5)/(2) x - 4

Since your new line is parallel to
y=(5/2)x + 6 it has the same slope

So it must be y = (5/2)x + b
Substitute x=2 and y=1 into that to find b

so your answer is right

i get my same equation as i stated previously is that what you get

b i get -4