Answer:
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
