What Does Delta Y Over Delta X Mean?

Delta y over delta x is a mathematical expression that represents the slope of a line. It is calculated by dividing the change in y by the change in x.

Slope of a Line

The slope of a line is a measure of its steepness. A positive slope indicates that the line is rising from left to right, while a negative slope indicates that the line is falling from left to right. The greater the absolute value of the slope, the steeper the line.

The formula for the slope of a line is:

“`
slope = delta y / delta x
“`

where:

* delta y is the change in y
* delta x is the change in x

Calculating Delta Y Over Delta X

To calculate delta y over delta x, you need to know the coordinates of two points on the line. Once you have the coordinates, you can use the following steps:

1. Subtract the y-coordinate of the first point from the y-coordinate of the second point. This will give you the change in y.
2. Subtract the x-coordinate of the first point from the x-coordinate of the second point. This will give you the change in x.
3. Divide the change in y by the change in x. This will give you the slope of the line.

Example

Let’s say you have two points on a line: (2, 3) and (4, 7). To calculate the slope of the line, you would use the following steps:

1. Subtract the y-coordinate of the first point from the y-coordinate of the second point: 7 – 3 = 4.
2. Subtract the x-coordinate of the first point from the x-coordinate of the second point: 4 – 2 = 2.
3. Divide the change in y by the change in x: 4 / 2 = 2.

Therefore, the slope of the line is 2.

Conclusion

Delta y over delta x is a mathematical expression that represents the slope of a line. It is calculated by dividing the change in y by the change in x. The slope of a line measures its steepness, with a positive slope indicating a line that is rising from left to right and a negative slope indicating a line that is falling from left to right.

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