Find the slope of a line parallel to the line whose equation is 3, x, plus, 3, y, equals, minus, 36x+3y=−36. Fully simplify your answer.
To find the slope of a line parallel to the given line, we first need to put the given line in slope-intercept form (y=mx+b), where m is the slope of the line.
Rearranging the equation 36x+3y=-36, we get:
3y = -36x - 36
y = -12x - 12
Now we can see that the slope of the given line is -12. Since parallel lines have the same slope, the slope of a line parallel to this line is also -12.
Therefore, the slope of a line parallel to the given line is -12.