How do you write an equation of a line through (4,-1) and parallel to y= 2x +1?

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Answer 1 · 2016-09-07T16:31:54

Equation of line parallel to #y=2x+1# and passing through #(4,-1)# is #y=2x-9#

Equation of a line parallel to #y=2x+1# is

#y=2x+k#

As it passes through #(4,-1)#, we have

#-1=2×4+k# or

#-1=+8+k# or

#k=-8-1=-9#

Hence, equation of line parallel to #y=2x+1# and passing through #(4,-1)# is #y=2x-9#