Lines a and b have different y-intercepts. When line a is reflected around the y-axis, is its reflection parallel to line b?
(1) Line a is perpendicular to line b.
(2) The slope of line b > 0.
line a = y =mx+b
line b = y = nx+c
now in case a line reflects, its slope changes sign and Y intercept remains same
so relected a = y= -mx+b
now the question asks is -m =n ( parallel lines will have same slope)
st1. -m*n = -1
m = 1 and n = 1 ... satisfies our condition
m = 1/3 and n = 3 ; -m*n = -1 but -m is not equal to n ... hence in sufficient
same as above... insufficient
m = 1 n =1 ok
m = 1/3 and n = 3 not ok