Answer: a. [tex]x+y=1[/tex]
Step-by-step explanation:
Given: Line CD passes through (0, 1) and is parallel to [tex]x+y=3[/tex].
We know that if two line are parallel then they have equal slopes.
Thus, the slope of line = slope of line [tex]x+y=3[/tex].
[tex]x+y=3\\\Rightarrowy=3-x[/tex] when we compare this to the standard linear equation [tex]y=mx+c[/tex].we get [tex]m=-1[/tex].
Hence, slope of CD (m)= -1
Now, the equation of line CD passing through (0,1) is given by :-
[tex](y-1)=m(x-0)\\\Rightarrow(y-1)=(-1)x\\\Rightarrow x+y=1[/tex]
Thus, the equation of line CD = [tex]x+y=1[/tex]
