Find the equation of a line parallel to y = -4x + 2 passing through (2,3)
-
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 m1 = -4
let the gradient of the line parallel to the given line be m2,
then, m2 = m1 = -4
(condition for parallelism)
using, y – y1 = m2(x – x1)
Hence the equation of the parallel line is
y – 3 = -4(x-2)
y – 3 = -4 x + 8
y + 4x = 8 + 3
y + 4x = 11
y + 4x – 11 = 0