amaths

L is the line y=1/2x +1
(a)A line with slope m makes and angle of 45 degrees with L.Find the value(s) of m.
(b)A family of lines is given by the equation x+3y-1+k(3x-y)=0,where k is real.
Using (a),or otherwise,state
(1)and equaion of the line in the family which makes an angle of 45degrees with L;and
(2)and equation of the line that does NOT belong to the family but makes and angle of 45degrees with L.