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.
Continue ReadingA 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.
Learn more about Data GraphsA line plot involves the distribution of dots on a number line to represent values from a data set. Each dot aligns with a number in the set. Multiple values of the same number mound on top of one another.
Full Answer >Desmos.com provides an online graphing calculator. It runs entirely in the browser without the need to download anything and has all the essential features of a graphing calculator.
Full Answer >A nonlinear graph is a graph that depicts any function that is not a straight line; this type of function is known as a nonlinear function. Linear functions, or those that are a straight line, display relationships that are directly proportional between an input and an output while nonlinear functions display a relationship that is not proportional.
Full Answer >Two rays are opposite rays in geometry if they have a common initial point and form a straight line. Essentially, these rays point in opposite directions. The common initial point is also called the end point of a ray.
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