Given (1, 4) and (2, 6)

calculate 8 items:

Slope (m) = | y_{2} - y_{1} |

x_{2} - x_{1} |

Slope (m) = | 6 - 4 |

2 - 1 |

Slope (m) = | 2 |

1 |

Slope = 2

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

y - 4 = 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) = 2

b = 4 - (2 * 1)

b = 4 + 2

b = | 2 |

1 |

b = 2

y = 2x + 2

D = Square Root((x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2})

D = Square Root((2 - 1)^{2} + (6 - 4)^{2})

D = Square Root((1^{2} + 2^{2}))

D = √(1 + 4)

D = √5

D = 2.2361

Midpoint = |

x_{2} + x_{1} |

2 |

, |

y_{2} + y_{1} |

2 |

Midpoint = | |

1 + 2 |

2 |

, |

4 + 6 |

2 |

Midpoint = | |

3 |

2 |

, |

10 |

2 |

Midpoint = (3/2, 5)

Plot a 3^{rd} point (2,4)

Our first triangle side = 2 - 1 = 1

Our second triangle side = 6 - 4 = 2

Using the slope we calculated

Tan(Angle1) = 2

Angle1 = Atan(2)

Angle1 = 63.4349°

Since we have a right triangle

We only have 90° left

Angle2 = 90 - 63.4349° = 26.5651

The y intercept is found by

Setting x = 0 in y = 2x + 2

y = 2(0) + 2

y = **2**

Parametric equations are written as

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

(x,y) = (1,4) + t(2 - 1,6 - 4)

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

**x = 1 + t**

**y = 4 + 2t**

x - x_{0} | |

z |

y - y_{0} |

b |

x - 1 | |

1 |

y - 4 |

2 |

Slope = 2/1 or 2

Slope Intercept = y = 2x + 2

Distance Between Points = 2.2361

Midpoint = (3/2, 5)

Angle 1 = 63.4349

Angle 2 = 26.5651

Y-intercept = 2

Slope Intercept = y = 2x + 2

Distance Between Points = 2.2361

Midpoint = (3/2, 5)

Angle 1 = 63.4349

Angle 2 = 26.5651

Y-intercept = 2

Slope = 2/1 or 2

Slope Intercept = y = 2x + 2

Distance Between Points = 2.2361

Midpoint = (3/2, 5)

Angle 1 = 63.4349

Angle 2 = 26.5651

Y-intercept = 2

Slope Intercept = y = 2x + 2

Distance Between Points = 2.2361

Midpoint = (3/2, 5)

Angle 1 = 63.4349

Angle 2 = 26.5651

Y-intercept = 2

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

y = mx + b

Distance = Square Root((x

Parametric equations are written in the form (x,y) = (x

Midpoint = ((x

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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