Answer:
2x + y = -2
Step-by-step explanation:
Use this trick: Drop the '1' in the equation of the given line, 2x+y=1, and replace it with 'C,' where C is a constant to be determined. We use this approach only when talking about parallel lines.
The we have the beginning of a new equation: 2x+y=C
This new line passes thru the point (-2, 2), and so we substitute -2 for x and 2 for y in 2x+y=C, obtaining:
2(-2) + 2 + C.
Solving for C, we get C = -2. Substitute this into 2x+y=C:
2x + y = -2
This is the equation of the new line that is parallel to 2x+y=1 and which also passes through (-2, 2).
