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"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
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If the horizontal change is 6 and the vertical change is 12 then what is the slope?
Slope is 'rise over run', that is rise divided by run. In this case, that's 12 divided by 6, which equals 2.
What is the slope of a ramp that has a rise of 1 inch over a run of 10ft?
Slope is equal to rise over run. There are 12 inches in a foot, so 10 feet is actually 120 inches. Therefore, the slope is equal to 1/120.
Do horizontal lines always have a slope of zero?
Yes. There is no positive or negative rise to generate a slope, and it cannot have a run of zero length.
A line in the Cartesian plane passes through the points -2 4 and 2 -1 what is the rise and the run of the line?
Rise = (-1 - 4) = -5 Run = (2 - -2) = 4 Slope = Rise/Run = -5/4 = -20
What is the difference in y-coordinates for a slope?
The difference in x-coordinates is called the "run", and the difference in y-coordinates is the "rise".
