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.
Learn MoreA Right Riemann Sum estimates the right endpoint of the curve on a graph. According to Math Open Reference, a Riemann Sum is a method for estimating the total area underneath a curve on a graph, otherwise known as an integral.
Full Answer >Read a crane load chart by first looking at the top axis. The first number on the top axis is the gross vehicle weight. In the other two columns, you will find arrows that indicate the weight load for each axle,which depends on what additional accessories are loaded. Use this information to determine lift capacity, lift range, lift angle and crane in motion weight limits.
Full Answer >A cumulative frequency polygon is a plot of the cumulative frequency against the upper class boundary with the points joined by a line segment. An ogive is any continuous cumulative frequency curve, including cumulative frequency polygons. A cumulative frequency polygon displays cumulative frequency on the x-axis and class marks on the y-axis.
Full Answer >An embedded chart is a chart that is placed on a worksheet as opposed to on a separate chart sheet when using a spreadsheet software package. Embedded charts play an instrumental role in viewing or printing a chart or a PivotChart report using its source data or other information.
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