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

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).

the discriminant is 64 + 4*1*12 = 112

this is prime.

step-by-step explanation: