Line CD passes through (0.1) and is parallel to x +y = 3. Write the standard form of the equation of line CD.

y = -x + 1

Step-by-step explanation:

We are asked to find the equation of a line parallel to

x + y = 3

Step 1: find the slope

x + y = 3

Following the equation of a line

y = mx + c

3 - x = y

-x + 3 = y

y = -x + 3

Slope m = -1

Step 2: substitute m = -1 into the equation

y - y_1 = m( x - x_1)

Using the point ( 0 , 1)

x_1 = 0

y_1 = 1

y - 1 = m( x - 0)

m = -1

y - 1 = -1 ( x - 0)

Open the bracket

y - 1 = -1x + 0

y - 1 = -x

y = -x + 1

The equation of the line is

y = -x + 1

- both graphs increase on their domain.

- the graphs of both functions have the same x-intercept.

- neither graph has a y-intercept.