Since, equation of parallel line to ax+by+c=0 has of the form ax+by+c'=0
Now, In this case equation of parallel line to 4x-5y-2=0 has the form 4x-5y+c'=0
We also know that distance between two parallel line is
d=a2+b2∣c−c′∣Thus,
5=42+52∣−2−c′∣⟹541=∣c′+2∣⟹c′=±541−2Thus, equation of parallel lines are
4x−5y±541−2=0
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