Answer:
y = -1/2 (4 x + 2)
Step-by-step explanation:
A system of two equations with no solution will consist of equations for <em>parallel lines</em>. The line will be parallel if they have the same slope (x-coefficient) and different y-intercepts.
The given line has a slope of -2, so eliminating the last two choices.
The first two choices can be expanded to slope-intercept form:
y = negative 2 (x minus one-half) ⇒ y = -2x +1 . . . same as given line
y = negative one-half (4 x + 2) ⇒ y = -2x -1 . . . parallel line
There will be no solution if another equation is ...
y = -1/2(4x +2)
