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Is Rise the vertical change between any two points on a line?
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.
What do the terms rise and run have to do with slope?
"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
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 difference of the y-values of two points on a line?
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.
What is the slope of the line formed by these two points 2 3 and 4 2?
To find the slope we need to divide the difference in rise between these two points by the difference in run between them. The difference in rise equals: 3-2 = 1. The difference in run between these points equals: 2-4 = -2.Now we just divide 1/-2 and we get the slope of the line formed by these two points: -0.5
