What is a linear relationship in math?

Answer

A linear relationship in mathematics is one in which the graphing of a data set results in a straight line. The formula y = mx+b is used to represent a linear relationship. In this formula m is the slope of the line, and b is the X-intercept. The graph of distance traveled versus time, at a constant speed, is a linear relationship.

A linear relationship with a slope of 1 and that begins at the origin of the graph is a direct proportion. This indicates that a change of one unit on the X axis of the graph results in a change of one unit on the Y axis. However, as shown by the formula for a linear relationship, the slope is not limited to 1. In addition, all graphs do not begin at the origin. In linear relationships with a negative slope, the y value decreases as the x value increases.

Science uses graphs to represent data sets. While there is a possibility for individual data points, collected from an experiment, to vary somewhat from the line, statistical analysis is useful in determining the best fit of a line. Once the scientist determines the line, he uses it to interpolate data for points not collected in an actual experiment.

Q&A Related to "What is a linear relationship in math?"
A linear relationship consists of a relationship between two variables. One is a dependent variable and one is an independent variable.
http://www.ask.com/web-answers/Science/Other/what_...
In a linear relationship there is typically one dependent and one independent variable. The dependent variable is a function of the independent variable. The general equation for
http://www.ehow.com/info_8601835_linear-relationsh...
Resembling, represented by, or consisting of a line or lines. Examples in maths: linear equation: A linear equation is an algebraic equation in which each term is either a constant
http://wiki.answers.com/Q/What_is_the_term_Linear_...
Music is richly mathematical, and an understanding of one subject can be a great help in understanding the other. Geometry and angles. My masters thesis. is devoted in part to a method
http://www.quora.com/What-is-the-relationship-betw...
Explore this Topic
Linear refers to those functions that possess the properties of a straight line in mathematics. This term is widely used in a branch of mathematics known as linear ...
The correlation between two variables is the degree to which there is a 'linear relationship' between them. Correlation is usually expressed as a 'coefficient' ...
A function is a relationship in math between two variables, often x and y, and for every value of x there is exactly one value of y. The x value is referred to ...
About -  Privacy -  Careers -  Ask Blog -  Mobile -  Help -  Feedback  -  Sitemap  © 2014 Ask.com