Q:

What is a linear relationship in math?

A:

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.

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    What does linear mean in mathematics?

    A:

    In mathematics, linear refers to an equation or function that is the equation of a straight line and takes the form y = mx + b, where "m" is equal to the slope, and "b" is equal to the y-intercept. Three features define a function as linear, but if a function satisfies one of the three requirements, then it satisfies them all and can be classified as linear.

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    What are opposite rays?

    A:

    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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    What are the names of graphs?

    A:

    Several types of graphs are used for displaying information in mathematics including the bar graph; pie chart or circle graph; histogram; stem and leaf plot; dot plot; scatter plot; and time-series graphs. The type of graph chosen depends on whether the data is quantitative, qualitative or paired.

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    What is a scatter plot?

    A:

    A scatter plot is a mathematical diagram showing the relationship between two sets of data. Individual points are positioned according to the variables assigned to the vertical and horizontal axis.

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