Question

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

Answer 1

y = -2x - 5

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