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
Mathematics
luisvillasenor1
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
a. x + y = 1
b. x – y = 1
c. x + 1 = y
d. x + y = 11
2 Answer

1. User Answers MTG101
A. would be the correct choice because the x+y hast to =1. 
2. User Answers JeanaShupp
Answer: a. [tex]x+y=1[/tex]
Stepbystep 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=3x[/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](y1)=m(x0)\\\Rightarrow(y1)=(1)x\\\Rightarrow x+y=1[/tex]
Thus, the equation of line CD = [tex]x+y=1[/tex]