Question

Line CD passes through (0, 1) and is parallel to x + y = 3. Write the standard form of the equation of line CD.
a. x + y = 1
b. x – y = 1
c. x + 1 = y
d. x + y = 11

Answer 1

A. would be the correct choice because the x+y hast to =1.

Answer 2

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 = $x+y=1$