If two line are parallel and the slope of one of the lines is m, what is the product of thir slopes?
m squared
Ah, parallel lines! They never cease to amuse me. If two lines are parallel, it means they have the same slope. So, if the slope of one line is m, and the lines are parallel, the slope of the other line is also m.
Now, to find the product of their slopes, we simply multiply them. So, the product of the slopes of two parallel lines with slope m would be m times m, which is equal to m^2.
Therefore, the product of their slopes is m^2. But hey, don't just take my word for it, give it a twirl on your own and see!
If two lines are parallel, it means that they have the same slope. Let's assume that the slope of both lines is m. So, the product of their slopes would simply be the square of m, which is m^2.
To find the product of their slopes, you would multiply the slope of one line by the slope of the other line. However, since the slopes are the same for parallel lines, you multiply the slope value by itself to get the square. Thus, the product of their slopes is m^2.