Question

Write a equation of a parrallel line 2x +2y=-1 that passes through the points (0,-4)​

Answer 1

x + y = - 4

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 -
`(1)/(2)` ← 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

Answer 2

y = -x - 4

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