Question

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

Answer 1

The answer is 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 when we compare this to the standard linear equation

= 3 - x

y = m x + c .we get m = -1 .

The slope of CD (m)= -1

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

( y - 1 ) = m ( x - 0 )

⇒ ( y - 1 ) = ( -1 ) x

⇒ x + y = 1

The equation of line CD = x + y = 1

Answer 2

x+y=1

EXPLANATION

We want to find the equation of line CD which passes through (0, 1) and is parallel to x + y = 3.

In slope intercept form, the given line is

y=-x+3

The slope of this line is m=-1

Line CD also has the same slope

The equation is given by:

y=mx+b

The given point (0,1) means the y-intercept;is b=1

Hence the equation is

y=-x+1

In standard form the equation is:

x+y=1