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Add the known points of a line and let this online tool find the slope.

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Use this slope calculator and let it find the slope (m) or gradient between two points \(A\left(x_1, y_1\right)\) and \(B\left(x_2, y_2\right)\) in the Cartesian coordinate plane.
Also, you can use the slope finder to calculate the following parameters:
**What Is Slope?**

**“The slope or gradient of the line is said to be a number that defines both the direction and steepness, ****incline**** or grade of line.”**
Typically, it is denoted by the letter (**m**) and is mostly known as rise over run.
**Slope Formula:**

Calculate slope by using the following formula:
**\(\ Slope \left(m\right)=\tan\theta = \dfrac {y_2 – y_1} {x_2 – x_1}\)**
Where
**What Are The 4 Different Types of Slopes?**

There are four types of slopes depending on the relationship between the two variables (x and y), which are:

**How To Find Slope of A Line?**

To find the slope, use this formula:
\(\ Slope \left(m\right)=\tan\theta = \dfrac {y_2 – y_1} {x_2 – x_1}\)
Also, you can use slope of a line formula to make instant calculations:
\(\ y =\ mx + \ b\)
You can expand the above formula to get the line equations in the point slope form:
\(\ y - y_{1} =\ m\ (x - x1)\)
**Example:**

There are two points are given: (2, 1) and (4, 7). We need to find the slope of the line passing through the points, the distance between points, and the angle of inclination.
**Solution:**
Given that:
**Distance Between Two Points:**
Use the Pythagorean theorem to find the distance between the points:
\(\ d = \sqrt{{(x_2 - x_1)^2 + (y_2 - y_1)^2}}\)
Substituting the coordinates (2, 1) and (4, 7):
\(\ d = \sqrt{{(4 - 2)^2 + (7 - 1)^2}} = \sqrt{{2^2 + 6^2}} = \sqrt{{4 + 36}} = \sqrt{40} \)
**Angle of Inclination:**
\(\ \tan(\theta) = \dfrac{{y_2 - y_1}}{{x_2 - x_1}}\)
Put the values of coordinates (2, 1) and (4, 7) in the equation above:
\(\ \tan(\theta) = \dfrac{{7 - 1}}{{4 - 2}} = \dfrac{6}{2} = 3 \)
Taking the arctangent (\(\arctan\)) of both sides:
\(\theta = \arctan(3) = 71.56 \ deg\)
**FAQ’s:**

**What Are 3 Ways To Find Slope?**

The three ways to calculate slope are:
**How Do You Convert An Angle To A Slope?**

Take the tangent of the angle:
\(\ m =\ tan\theta\)
Other Languages: Steigung Berechnen, 勾配計算, Calcul Pente, Calculo De Inclinação, Calcular Pendiente, Calcolo Pendenza, Калькулятор Уклонов, Výpočet Sklonu, Kattokaltevuus Laskuri, Eğim Hesaplama, Kalkulator Nachylenia, Kalkulator Kemiringan.

- Slope intercept form
- Grade, distance, and angle
- 𝚫Y and X−coordinates
- Slope graph
- The x-intercept
- The y-intercept

- \(\ m\ is\ the\ slope\)
- \(\theta\ is\ angle\ of\ incline\)

- Positive
- Negative
- Zero
- Undefined

Positive |
Negative |
Zero |
Undefined |

The line increases from left to right side | Decreasing from left to right side | The rise of a horizontal line is zero | In this case, the Vertical lines do not move in any direction |

- \(\ x_{1} = 2\)
- \(\ y_{1} = 1\)
- \(\ x_{2} = 4\)
- \(\ y_{2} = 7\)

- Point slope form
- Slope-intercept form
- The standard form

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