Find the slope of a line parallel to the line whose equation is x, plus, y, equals, minus, 6x+y=−6. Fully simplify your answer.
To find the slope of a line parallel to another line, we need to find the slope of the given line.
To do this, we rearrange the given equation into slope-intercept form (y = mx + b), where m represents the slope:
-6x + y = -6
y = 6x - 6
Comparing the equation to slope-intercept form, we can see that the slope is 6.
Since we want the slope of a line parallel to this line, the slope will be the same:
Slope = 6