Slope Calculator

x1:

y1:

x2:

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A slope calculator is a tool used to calculate the slope of a line given two points on the line. The slope of a line represents its steepness or inclination. Here's how you can use a slope calculator:

1. Determine the coordinates: Identify the coordinates of two points on the line. Let's call them (x1, y1) and (x2, y2).

2. Calculate the difference in y-coordinates: Subtract the y-coordinate of the first point from the y-coordinate of the second point. This gives you the change in y, represented as Δy = y2 - y1.

3. Calculate the difference in x-coordinates: Subtract the x-coordinate of the first point from the x-coordinate of the second point. This gives you the change in x, represented as Δx = x2 - x1.

4. Calculate the slope: Divide the change in y by the change in x. This gives you the slope of the line, represented as m = Δy / Δx.

The slope (m) represents the ratio of vertical change (rise) to horizontal change (run) between the two points.

For example, let's say we have two points: (2, 4) and (5, 9). To calculate the slope:

Δy = 9 - 4 = 5

Δx = 5 - 2 = 3

m = Δy / Δx = 5 / 3

So, the slope of the line passing through the points (2, 4) and (5, 9) is 5/3.

You can use a slope calculator or perform the calculations manually to find the slope of a line. Slope calculations are commonly used in mathematics, physics, engineering, and various other fields to analyze lines and their properties.