Find the slope of a line parallel to the line whose equation is 2, x, plus, 4, y, equals, 2x+4y=56. Fully simplify your answer.
First, we need to rewrite the given equation in slope-intercept form, which is y = mx + b, where m is the slope of the line.
2x + 4y = 56
4y = -2x + 56
y = -0.5x + 14
Now, we can see that the slope of the line is -0.5.
Since parallel lines have the same slope, the slope of a line parallel to this line is also -0.5.
So, the slope of a line parallel to the given line is -0.5.