Answer:
The answer is <em>x + y = 1</em>
Step-by-step explanation:
Given: Line CD passes through (0, 1) and is parallel to <em>x + y = 3.</em>
We know that if two line are parallel then they have equal slopes.
Thus, the slope of line = slope of line <em>x + y = 3</em>
<em>x + y = 3</em> when we compare this to the standard linear equation
<em>= 3 - x</em>
<em>y = m x + c</em> .we get <em>m = -1</em> .
The slope of CD (m)= -1
Now, the equation of line CD passing through (0,1) is given by :-
<em>( y - 1 ) = m ( x - 0 )</em>
<em>⇒ ( y - 1 ) = ( -1 ) x</em>
<em>⇒ x + y = 1</em>
The equation of line CD = <em>x + y = 1</em>