Answer:
Explanation:
To find the slope of the line represented by the given points (-6x, 6y) and (6x, 2y), we can use the slope formula, which is:
slope = (change in y)/(change in x)
Let's calculate the change in y and the change in x:
Change in y = 2y - 6y = -4y
Change in x = 6x - (-6x) = 6x + 6x = 12x
Now, substitute these values into the slope formula:
slope = (-4y)/(12x)
The slope of the line is -4y/12x, which simplifies to -y/3x.
So, the slope of the line is -y/3x.
Remember, the slope represents the ratio of the vertical change (change in y) to the horizontal change (change in x) between two points on a line.