What is the slope of a line parallel to the line - 10x-5y=25?

The slope for the parallel line to the equation - 10x-5y=25 is - 2

Step-by-step explanation:

First we need to convert the equation to slope-intercept form to determine the slope.

-10x-5y=25

+10x _10x

-5y=25+10x

/-5 / -5

y = - 5 - 2x

Remember, - 5 is the y-intercept and - 2 is the slope for this equation. A parallel line is a line that never intersects with the first line. If the two equations have different slopes, they will eventually intersect. Because of this, our parallel line needs to have the same slope as the initial equation: - 10x-5y=25

Since we've determined that the slope for that equation is - 2, we can infer that this will be the slope for our parallel line.