Respuesta :

Answer:

 y = -x - 4

Step-by-step explanation:

2x + 2y = -1

2y = -2x - 1

y = -1x - 0.5

y-intercept passing through point (0, -4). Parallel lines have same slope as above equation which is -1.

y = mx + b

-4 = -1(0) + b

b = -4

Equation of parallel line:

y = mx + b

y = -x - 4

Answer:

x + y = - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

2x + 2y = - 1 ( subtract 2x from both sides )

2y = - 2x - 1 ( divide the 3 terms by 2 )

y = - x - [tex]\frac{1}{2}[/tex] ← in slope- intercept form

with slope m = - 1

Parallel lines have equal slopes

The line crosses the y- axis at (0, - 4) ⇒ c = - 4

y = - x - 4 ← equation in slope- intercept form

Add x to both sides

x + y = - 4 ← equation in standard form

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