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# Slope Calculator

To find the slope of a straight line, enter the coordinates of the points in the slope formula calculator.

## Slope Calculator

This slope finder is an online tool that helps its users in computing the slope of a line using two points. In the result section of slope calculator, one can also find slope graphs and slope angles.

## What is a Slope?

Slope and gradient are two names for one thing and that is “rise over run”. In simple words, change in the y-axis is divided by change in the x-axis.

A slope gives information about the line. It tells us if the value of x is increased by “1”, by “how much” the value of y will increase. The slope is usually represented by **m**.

The slope is also used to make the linear equation using point slope form or slope intercept form.

## Slope Formula

The formula of the slope is:

**m = Δy/Δx = y _{2 }- y_{1 }/ x_{2}-x_{1}**

Where,

- y is the position of the point on the y-axis.
- x is the position of a point on the x-axis.

## Types of slope

In mathematics, there are four types of slope and all of these types can be calculated by using this slope calculator.

- Positive Slope
- Negative Slope
- Zero Slope
- Undefined Slope

### Positive Slope

In this type of slope, the line of the graph goes upward as x increases. For example, when a person moves upward to the right then the slope of the line is positive. The result of this type of slope is always greater than zero (m > 0).

**Negative Slope **

In a negative slope, the line of the graph goes downward. For example, when a person moves downward to the right then the slope of the line is negative. The answer of the negative slope is less than zero (m < 0).

**Zero Slope **

A horizontal line in a graph denotes the zero slope. It is denoted by m=0. The value of the y coordinate (rise) is zero in this type of slope.

**Undefined Slope**

A vertical line on a graph denotes an undefined slope. In this type of slope, m is undefined. The value of x coordinate (run) is zero in an undefined slope.

## How to find a Slope?

*Example*

A straight line exists in the cartesian plane. The two points of the line are (2,4) and (7,5). Find the slope of a line using these points.

*Solution*

**Step 1:** Identify the points.

X_{1} = 2

X_{2} = 7

Y_{1} = 4

Y_{2} = 5

**Step 2:** Use the values in the formula.

m = (y_{2} - y_{1})/(x_{2} - x_{1})

m = (5 - 4)/(7 - 2)

m = 1/5

**m = 0.2**

## References

- Khan Academy. (n.d.). What is the Slope? Khan Academy.
- Estela, M. (2022, May 30). Types of slopes of a line. ChiliMath.