Yes. Slope is the distance between two different points, expressed as rise over run. The rise is the vertical distance and the run is the horizontal distance.
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No, rise is the vertical change. Run is the horizontal change.
"The ratio of the vertical change to the horizontal change between two points on a line. It measures the steepness of a line." Rise = vertical change Run = horizontal change The terms are commonly used as "rise over run" because the equation for calculating the slope(m) of a line is: m = (y2-y1) / (x2-x1) the y points being the difference in rise and the x points being the difference in run m = rise / run
In 2-dimensional space, it is the difference between their y-coordinates, in 3-dimensional space, it is the difference between their z-coordinates.
The difference in the y-values of two points on a line is equal to the vertical distance between those points. This difference is also known as the "rise" or the "change in y." To calculate the difference in the y-values of two points (y₁, x₁) and (y₂, x₂) on a line, you simply subtract the y-coordinate of one point from the y-coordinate of the other: Difference in y-values = y₂ - y₁ This calculation gives you the vertical distance between the two points on the line.
Slope is 'rise over run', that is rise divided by run. In this case, that's 12 divided by 6, which equals 2.