Which of the following would not be a correct description of slope?
a. How gently or steeply something is slanted.
b. The change in vertical distance compared to the change in horizontal distance.
rise C.
run
The height that a line rises.
d
The correct answer is d. The height that a line rises.
The correct answer is d. "The height that a line rises." Slope is not the height that a line rises, but rather the change in vertical distance compared to the change in horizontal distance.
Option a is a correct description of slope as it refers to the slant or steepness of something.
Option b is also a correct description of slope as it mentions the ratio of the change in vertical distance (rise) to the change in horizontal distance (run).
Option c is another correct description of slope, as it refers to the rise of a line.
Therefore, the incorrect description of slope is d, "The height that a line rises."
To determine the correct description of slope among the given options, let's analyze each choice.
a. How gently or steeply something is slanted: This is a correct description of slope. The slope represents how gently or steeply a line or surface slants.
b. The change in vertical distance compared to the change in horizontal distance (rise/run): This is also a correct description of slope. In mathematical terms, slope is calculated by dividing the change in vertical distance (rise) by the change in horizontal distance (run).
c. Rise: Rise is not a complete description of slope, as it only represents the vertical change in distance. Slope is determined by comparing the change in vertical distance (rise) to the horizontal change in distance (run).
d. The height that a line rises: This description is not accurate as it only refers to the vertical distance and does not consider the horizontal distance, which is required to calculate slope accurately.
Therefore, the correct answer is C, as it does not provide a complete description of slope.