Answer:
The slope represents the rate of change between two variables and should be written as a fraction indicating the change in the dependent variable over the change in the independent variable.
Explanation:
AI-generated answer
1. The slope of a line can be determined from a table by calculating the ratio of the change in the y-values (vertical change) to the change in the x-values (horizontal change) between any two points on the line. This is known as the "rise over run" method. Simply subtract the y-coordinate of one point from the y-coordinate of another point, and divide it by the difference in their x-coordinates. This will give you the slope.
On a coordinate plane, the slope of a line can be found by visually inspecting the line and counting the number of units it rises or falls vertically (rise) and the number of units it moves horizontally (run). The slope is then expressed as the ratio of rise to run.
Lastly, the slope can be determined by using the coordinates of two points on the line. By subtracting the y-coordinate of one point from the y-coordinate of the other point, and dividing it by the difference in their x-coordinates, you can find the slope of the line.
2. Slope represents the rate of change between two variables. It tells us how much the dependent variable changes for every one unit change in the independent variable.
The slope should be written as a fraction, indicating the ratio of the change in the dependent variable (y) to the change in the independent variable (x). For example, if the slope is 2/3, it means that for every 1 unit increase in the independent variable, the dependent variable increases by 2/3 of a unit. The units of the slope depend on the units of the variables being measured.
In summary, the slope of a line can be determined from a table by finding the ratio of the change in y-values to the change in x-values, visually inspecting the line on a coordinate plane and counting the rise and run, or by using the coordinates of two points on the line. The slope represents the rate of change between two variables and should be written as a fraction indicating the change in the dependent variable over the change in the independent variable.