Which of the following is the equation of a line parallel to the line y = 4x + 1, passing through the point (5,1)?

A. 4x + y = 19
B. 4x - y = 19
C. 4x + y = -19
D. -4x - y = 19

Question

Which of the following is the equation of a line parallel to the line y = 4x + 1, passing through the point (5,1)?

A. 4x + y = 19 
   B. 4x - y = 19 
   C. 4x + y = -19 
   D. -4x - y = 19

anonymous · Answer

b)

anonymous · Answer

two parallel has same slope....y=mx+c ..(m is slope)
since our line is parallel to y=4x+1 hence our line has slope 4...
so our line may be as y=4x+k;
as our line pass through (5,1) hence it must satisfy our equation..
         1=4*5+k       means k=-19
         y=4x+k       y=4x-19