The Slope Formula: Calculating the Rate of Change and Steepness of a Line

slope formula

The slope formula is used to calculate the slope, or the rate of change, between two points on a straight line

The slope formula is used to calculate the slope, or the rate of change, between two points on a straight line. It is represented by the symbol “m” and can be found using the coordinates of two points (x1, y1) and (x2, y2) on the line.

The slope formula is:

m = (y2 – y1) / (x2 – x1)

To apply this formula, follow these steps:

1. Identify the coordinates of the two points given on the line, for example, (2, 5) and (4, 9).

2. Assign the values of x1, y1, x2, and y2 from the coordinates: x1 = 2, y1 = 5, x2 = 4, and y2 = 9.

3. Substitute the values into the slope formula:

m = (9 – 5) / (4 – 2)

4. Perform the calculations:

m = 4 / 2

m = 2

Therefore, the slope of the line passing through the points (2, 5) and (4, 9) is 2.

The slope formula is fundamental in algebra and calculus as it helps determine the steepness of a line and the direction of the line’s movement.

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