To represent the "rise" and "run" of a line, we draw a line segment on a graph. The "rise" is the vertical change between two points on the line, while the "run" is the horizontal change between the same two points.
Let's say we have two points on the line: \( (x_1, y_1) \) and \( (x_2, y_2) \). The "rise" is the difference in the \( y \)-coordinates of these points, \( y_2 - y_1 \), and the "run" is the difference in the \( x \)-coordinates, \( x_2 - x_1 \).
The slope of the line is the ratio of the "rise" to the "run". In simplest form, the slope is given by:
\[ \text{Slope} = \frac{\text{Rise}}{\text{Run}} = \frac{y_2 - y_1}{x_2 - x_1} \]
If you provide the coordinates of two points on the line, I can calculate the slope for you.
