Table of Contents

**Point slope form calculator**

**‘Point Slope Form Calculator’** : Looking for an online **point slope form calculator with two points** to find the equation of the line? If yes then this calculator is for you.

Table of Contents

**‘Point Slope Form Calculator’** : Looking for an online **point slope form calculator with two points** to find the equation of the line? If yes then this calculator is for you.

Point Slope Form Calculator

NOTE :-If your slope is fraction, please convert in to decimal, then enter the slope in the box provided.

Example : 1/2 to be entered as 0.5

Point Slope equation Calculator is a free online tool that shows the equation of a line using the values x1, and y1 and the line's slope m.online point-slope form equation calculator tool makes the calculation easier, and it displays the form in a fraction of a second.

The procedure to use the** point-slope form calculator **is as below:

**1:**Enter the values of X1, Y1 & M slope in the value box.**2:**Click on Calculate button in the middle of the calculator.**3:**Check the below value box for the equation of the line.

The formula of point-slope is used to find the equation of a Straight line.

How to find Slope Intercept Online | Slope Intercept Form Calculator |

How to find Triangle Area Online | Triangle Area Calculator |

How to find Mid Point Online | Mid Point Calculator |

How to find Centroid of Triangle Online | Centroid Triangle Calculator |

How to find Distance between Points Online | Distance Between Two Points Calculator |

How to find Perpendicular Bisector Online | Perpendicular Bisector Calculator |

There are three equations of linear.

- Point slope.
- Slope intercept.
- Standard.

For ease, you can use our free online point slope formula calculator for point-slope calculations.

This form is particularly getting used when information is provided about a single point of the line and the slope of a line.

These two pieces of information are enough to complete the linear equation and if we indeed give up the point and slope then is only feeding that we use point-slope, the easiest form to get to find the linear equation.

This formula is used only when we know the slope of the straight line and a point on the straight line.

The equation of a straight line whose slope is m and which passes through a point (x1, y1) is found using the point-slope form.

So, let us present you the equation of the point-slope formula:

y – y1 = m ( x – x1) |

The equation for the slope of a straight line is:

y – y1 = m ( x – x1) |

Equation Description | Derivation method |
---|---|

The equation for the slope of a straight line is | Slope\;m=\frac{Diff.\;in\;y\;-\;coordinate}{Diff.\;in\;x\;-\;coordinate} |

Now the Equation is : | m=\frac{y\;-\;y1\;}{x-\;x1} |

Multiplying both sides by (x−x1) | m\;(x\;-\;x1)\;=\;y-\;y1 |

This can be written as, | y-\;y1\;=\;\;m\;(x\;-\;x1) |

where,

- (x, y) is a random point on the straight line used as a variable while applying the formula.
- m is the slope of the straight line.
- (x1,y1) is a fixed point on a straight line.

The equation is useful only when we have:

- one point on the line:
_{1},y_{1}) - and the Slope of the line: m,

Hence the point-slope formula is proved.

Slope-intercept form calculator is the commonly used form for the equation of a line and is derived as,

y = MX + b |

Equation Description | Derivation method |
---|---|

The Point-Slope Form equation is | y-\;y1\;=\;\;m\;(x\;-\;x1) |

(x1, y1) is actually (0, b) | y\;-\;b\;=\;m\;(x\;-\;0) |

That is | y\;-\;b\;=\;m\;x |

Put b on another side | y\;=\;m\;x\;+\;b |

where

- m is the slope.
- b is the value called the y-intercept.
- point (x
_{1}, y_{1}) is actually at (0, b).

It is the same except that this equation involves the slope of a line and its y-intercept, rather than the slope of a line and a point on the line.

It is the advanced case of a point-slope form calculator with two points that show that the Point on the line is also the y-intercept.

Because of the slope and y-intercept, it is easy to write the equation of a line in slope-intercept form, and also to graph it.

Hence the slope-Intercept form is proved.

The Intercept form equation of a line is one of the methods to find the equation of a line.

Here, we will find the equation of a straight line by using an x-intercept and y-intercept.

The Intercept Form is expressed as,

\frac{x}{a}+\frac{y}{b}=1 |

Equation Description | Derivation method |
---|---|

The Intercept Form equation is | \frac{x}{a}+\frac{y}{b}=1 |

Where,

- x-intercept = a
- y-intercept = b

All right, let's go through the example step by step.

**Example 1 : **

**Question : -** What is the point-slope equation of a line that is having a slope m= 5 & goes through the point (x1, y1) = (2, 1) ?

**Answer:-**

Description | Solved Equation |
---|---|

Put values as mentioned in the question. Now the equation will be : | y - 1 = 5 (x - 2) |

Now multiply 5 by x-2 | (y-1)=5(x-2) |

Which can be specified as: | y=5x-10+1 y=5x-9 |

Final Equation | 5x-y-9=0 |

**Example 2 :**

**Question: - **What is the point-slope form calculator with two points of a line that is having a slope m= 6 & goes through the point (x1, y1) = (2, 4) ?

**Answer:-**

Description | Solved Equation |
---|---|

Put values as mentioned in the question. Now the equation will be : | y - 4 = 5 (x - 2) |

Now multiply 5 by x - 2 | y - 4 = 5x - 12 |

Which can be specified as: | y=5x -10 + 4 y = 5x - 6 |

Final Equation | 5x-y-6=0 |

**Solved Examples** :

You can calculate the point-slope equation online by point slope calculator

The linear equation of slope-intercept form is y = mx + b.

You can calculate the slope-intercept equation online by slope intercept calculator

**The **equation is y-y₁=m(x-x₁) for linear equations.

This point slope formula calculator is easy to use for students who want to find the equation of the line quickly.