slope of the line y=4x-14 is 4
since the lines are parallel,
slope of required line = 4
Now,
Equation of required line is given by
y-(-6) = 4 [x - (-2) ]
y+6 = 4 ( x +2)
y+6 = 4x + 8
y+ 6 - 4x - 8 = 0
y - 4x - 2 = 0
Hence, y - 4x - 2 = 0 is the equation of required line.
