Verified Answer :

MTG101
Awould be the correct choice because the x+y hast to =1.
JeanaShupp

Answer: a. \(x+y=1\)

Step-by-step explanation:

Given: Line CD passes through (0, 1) and is parallel to \(x+y=3\).

We know that if two line are parallel then they have equal slopes.

Thus, the slope of line = slope of line \(x+y=3\).

\(x+y=3\\\Rightarrowy=3-x\) when we compare this to the standard linear equation  \(y=mx+c\).we get  \(m=-1\).

Hence, slope of CD (m)= -1

Now, the equation of line CD passing through (0,1) is given by :-

\((y-1)=m(x-0)\\\Rightarrow(y-1)=(-1)x\\\Rightarrow x+y=1\)

Thus, the equation of line CD = \(x+y=1\)

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