Which choice represents the equation of the line with a y-intercept of - 5 and parallel to the line whose equation is 2y + 4x=8

y = - 2x - 5

Step-by-step explanation:

The slope of the given line is found by solving 2y + 4x = 8 for y:

2y = - 4x + 8, or y = - 2x + 4. The slope is - 2.

We need to find the equation of a line parallel to this one and with y-intercept - 5:

y = mx + b becomes, after suitable substitutions, y = - 2x - 5