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

Question

asked Feb 27, 2018 193k views

2 Answers

Hexonxons · Answer 1 · 2018-03-04T12:49:40+0000

Answer: a.
x+y=1

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 =