For this case, we have that by definition, two lines of the form y = f (x) are parallel if they have the same slope, that is:
[tex]m_ {1} = m_ {2}[/tex]
In this case we have the following line:
[tex]y = \frac {3} {4} x + \frac {2} {5}[/tex]
Your slope is:
[tex]m_ {1} = \frac {3} {4}[/tex]
Then, a parallel line must have slope:
[tex]m_ {2} = \frac {3} {4}[/tex]
Then, the correct option is: [tex]f (x) = \frac {3} {4} x + 9[/tex]
Answer:
Option A
