What is an equation of the line that passes through the point (-2,2)(−2,2) and is parallel to the line 2x+y=12x+y=1?

Answer 1

2x+y = 1, solve for y to find the slope

y=-2x + 1 has slope = -2 = coefficient of the x term

any parallel line has the same slope

y=-2x + b, solve for b by pluggint in the point (-2,2)

2 =-2(-2) + b

b = 2-4 =-2

y=-2x -2 is the line parallel to 2x+y=1 and through the point (-2,2)

It's the same line shifted down by 3