The coordinates of the top of a hill are (2, 14). The coordinates of the bottom of the hill are (10, 2). Given this information, what is the slope of the hill?
Well, the slope of a hill is kind of like how determined you have to be to climb it. So let's calculate! The rise is the vertical distance between the top and bottom of the hill, which is 14 - 2 = 12. The run is the horizontal distance between the top and bottom, which is 10 - 2 = 8. So, the slope of the hill is 12/8, or in simpler terms, it's like having a 12/8 chance of success when trying to climb the hill. Good luck!
To find the slope of the hill, we can use the formula:
slope = (change in y-coordinate) / (change in x-coordinate)
The top of the hill has coordinates (2, 14) and the bottom has coordinates (10, 2).
The change in y-coordinate is (2 - 14) = -12.
The change in x-coordinate is (10 - 2) = 8.
Using the formula, we find:
slope = (-12) / 8 = -1.5
Therefore, the slope of the hill is -1.5.
To find the slope of the hill, we can use the formula for slope:
slope = (change in y-coordinates) / (change in x-coordinates)
In this case, the top of the hill has coordinates (2, 14) and the bottom of the hill has coordinates (10, 2).
The change in the y-coordinates is 14 - 2 = 12, and the change in the x-coordinates is 2 - 10 = -8.
Plugging these values into the slope formula:
slope = (12) / (-8) = -3/2
Therefore, the slope of the hill is -3/2.