Understanding the Slope Formula | How to Calculate the Steepness of a Line in Mathematics

slope formula

The slope formula is used to calculate the steepness or inclination of a line

The slope formula is used to calculate the steepness or inclination of a line. In mathematics, the slope of a line represents how much the y-coordinate changes for a given change in the x-coordinate. It is represented by the letter “m”. The formula for calculating the slope of a line is:

m = (y2 – y1) / (x2 – x1)

In this formula, (x1, y1) and (x2, y2) represent two points on the line. The coordinates (x1, y1) are usually referred to as the “first point” and (x2, y2) as the “second point”.

To use the slope formula, you need to know the values of two points on the line. Once you have these coordinates, simply substitute the values into the formula to find the slope.

For example, let’s say you have the points (3, 5) and (6, 9). By substituting these values into the slope formula, you would have:

m = (9 – 5) / (6 – 3)
m = 4 / 3

Therefore, the slope of the line passing through the points (3, 5) and (6, 9) is 4/3.

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