Straight Line

Straight Line

Computational robotics engineering Professor :Carolina CastroTeam Carlos Jesus Garcia Cano Angel Adrian Basto Tumux Adam Enrique Xacur López

7. Gallery

6. Example in application

5. 2 more Examples

4. Example

3. Form of the equation

2. Components

1. What´s straight line

Index

In this presentation it will be shown what a straight line is , its characteristics , forms , examples and applications which could happen in the real life , with the porpuse of understand the straight line

INTRODUCTION :D

Arquimedes

- Straight Line -It line with no curves which could be inifinite or make between to point like A and B

Components

• Positive Slope
• Negative Slope
• Y-intercept
• x-intercept

Normal form xcosα +ysinα = p

Form for the equation in R2

Slope- interception formy = mx+b

standar form Ax+BY=C

slope form(y-y1)=m(x-x1)

Intercept formx/a + y/b =1

Point general formy=a(x-p)(x-q)

Form for the equation in R3

Implicit form Ax + By + Cz +D = 0 A'x + B'x+ Cz' + D' = 0

Parametric formX = xp + t(xq-xp) Y = yp + t(yq-yp) Z =zp + t(zq-zp)

Vector form(X,Y,Z) = (xp,yp,zp) + t(xq-xp , yq-yp , zq-zp)

Symetric formx-xp/xq-xp = y-yp/yq-yp =z-zp/zq-zp

A partial derivative of a function of several variables is its derivative with respect to one of those variables, with the others held constant. Partial derivatives are used in vector calculus and differential geometry

partial derivatives

Standard form:

Simetric form:

example exercise 1

calculate the slope of a line that has as points A (3,2) and B (7,6)

Standar form:

Simetric form:

determine the coordinates of point B (x, x-2) considering that together with point A (2,-4) the line has an inclination degree of 53º

example exercise 2

One of the applications of the straight line is to use linear regression in this case we do machine learning using linear regression to predict weight based on height data.

Example application

Linear regression analysis is used to predict the value of a variable based on the value of another variable. The variable you want to predict is called the dependent variable. The variable you are using to predict the other variable's value is called the independent variable.

What is linear regression?

Machine learning using linear regression

Calculation of the equation that describes the data.

mathematical calculations

Straight lines are very useful to a lof of applications becuase it help to analyze data that have a just one slope and for those help to understand when to use it with understanding of its forms

Arquimedes

Conclusion

thank you