Given (1, 4) and (5, 6)

calculate 8 items:

Slope (m) = y _{2}- y_{1}x _{2}- x_{1}

Slope (m) = | 6 - 4 |

5 - 1 |

Slope (m) = | 2 |

4 |

Since the slope is not fully reduced, we reduce numerator and denominator by the (GCF) of 2

Slope = (2/2)/(4/2)

Slope = 1/2

y - 4 = 1/2(x - 1)

Standard equation of a line is y = mx + b

where m is our slope

x and y are points on the line

b is a constant.

Rearrange the equation to solve for b

we get b = y - mx.

Use (1, 4) and the slope (m) = 1/2

b = 4 - (1/2 * 1)

b = 4 - (1/2)

b = | 8 |

2 |

- |

1 |

2 |

b = | 7 |

2 |

This fraction is not reduced. Using our GCF Calculator, we see that the top and bottom of the fraction can be reduced by 7

Our reduced fraction is:

1 | |

0.28571428571429 |

D = Square Root((x

D = Square Root((5 - 1)

D = Square Root((4

D = √(16 + 4)

D = √20

D = 4.4721

Midpoint = |

x_{2} + x_{1} |

2 |

, |

y_{2} + y_{1} |

2 |

Midpoint = | |

1 + 5 |

2 |

, |

4 + 6 |

2 |

Midpoint = | |

6 |

2 |

, |

10 |

2 |

Midpoint = (3, 5)

Plot a 3

Our first triangle side = 5 - 1 = 4

Our second triangle side = 6 - 4 = 2

Using the slope we calculated

Tan(Angle1) = 0.5

Angle1 = Atan(0.5)

Angle1 = 26.5651°

Since we have a right triangle

We only have 90° left

Angle2 = 90 - 26.5651° = 63.4349

Setting x = 0 in y = 1/2x + 1/0.28571428571429

y = 1/2(0) + 1/0.28571428571429

y =

Parametric equations are written as

(x,y) = (x_{0},y_{0}) + t(b,-a)

(x,y) = (1,4) + t(4,2)

x - x_{0} | |

z |

y - y_{0} |

b |

x - 1 | |

4 |

y - 4 |

2 |

<-- Slope

<-- Slope Intercept Form Line Equation

<-- Distance between points

<-- Midpoint

<-- Angle 1

<-- Angle 2

<-- Y intercept

Slope (m) = 1/2 or 0.5

Free Line Equation-Slope-Distance-Midpoint-Y intercept Calculator - Enter 2 points, and this calculates the following:

* Slope of the line (rise over run) and the line equation y = mx + b that joins the 2 points

* Midpoint of the two points

* Distance between the 2 points

* 2 remaining angles of the rignt triangle formed by the 2 points

* y intercept of the line equation

* Point-Slope Form

* Parametric Equations and Symmetric Equations

Or, if you are given a point on a line and the slope of the line including that point, this calculates the equation of that line and the y intercept of that line equation, and point-slope form.

Also allows for the entry of m and b to form the line equation

This calculator has 7 inputs.

* Slope of the line (rise over run) and the line equation y = mx + b that joins the 2 points

* Midpoint of the two points

* Distance between the 2 points

* 2 remaining angles of the rignt triangle formed by the 2 points

* y intercept of the line equation

* Point-Slope Form

* Parametric Equations and Symmetric Equations

Or, if you are given a point on a line and the slope of the line including that point, this calculates the equation of that line and the y intercept of that line equation, and point-slope form.

Also allows for the entry of m and b to form the line equation

This calculator has 7 inputs.

- m = (y
_{2}- y_{1}) / (x_{2}- x_{1}) - y = mx + b
- Distance = Square Root((x
_{2}- x_{1})^{2}+ (y_{2}- y_{1})^{2}) - Parametric equations are written in the form (x,y) = (x
_{0},y_{0}) + t(b,-a) - Midpoint = ((x
_{2}+ x_{1})/2, (y_{2}+ y_{1})/2)

For more math formulas, check out our Formula Dossier

- angle
- the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.
- distance
- interval between two points in time

d = rt - line equation
- parametric equation
- defines a group of quantities as functions of one or more independent variables called parameters.
- point slope form
- show you how to find the equation of a line from a point on that line and the line's slope.

y - y_{1}= m(x - x_{1}) - slope
- Change in y over change in x
- symmetric equations
- an equation that presents the two variables x and y in relationship to the x-intercept a and the y-intercept b of this line represented in a Cartesian plane
- y-intercept
- A point on the graph crossing the y-axis

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