What is the correct description for the system of linear equations? y=−2x−4 y=2x+4 a. consistent independent b. coincident c. inconsistent

The slope of the first equation is -2, you can see it right off.

the slope of the second equation is 2, notice both are in slope-intercept form.

both equations are the equations of a line, so is really just two lines.

because their slope differs, they're not parallel or equivalent, therefore, they lines do meet at some point, and one point only, and therefore, they have 1 solution only.

a system of equations with at least 1 solution,  is a consistent system.

a consistent system with exactly 1 solution only, is not just consistent, but also independent.