
A.
y + 4x + 11 = 0 
B.
y – 4x – 11 = 0 
C.
y + 4x – 11 = 0 
D.
y – 4x + 11 = 0
Correct Answer: Option C
Explanation
By comparing y = mx + c
with y = 4x + 2,
the gradient of y = 4x + 2 is m_{1} = 4
let the gradient of the line parallel to the given line be m_{2},
then, m_{2} = m_{1} = 4
(condition for parallelism)
using, y – y_{1} = m_{2}(x – x_{1})
Hence the equation of the parallel line is
y – 3 = 4(x2)
y – 3 = 4 x + 8
y + 4x = 8 + 3
y + 4x = 11
y + 4x – 11 = 0