Each graphing linear equations worksheet that you find on this page contains four plane surfaces and corresponding linear equations, each with an answer key displaying the appropriate graphical illustration. The plane surfaces of a graphing equation are selected either by horizontal or vertical axes, either by a single value or a multiple of values, in selected cells. You select the plane surface that is most appropriately fit to the data and plot the corresponding graphical illustration. The cells of each plane surface represent cells in the corresponding mathematical equation. The cells can overlap, so be sure to plot each cell on its own separate plane.
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You can create your own worksheets in Microsoft Excel by entering the required information into the appropriate boxes. You will need to indicate which cells and which surface they should cover by using the inequality operator, for instance, x * sin(x) is the horizontal coordinates of the point that lies along the x plane. The two sets of coordinates must be specified for each cell, for otherwise the graphical representation cannot be completed. The function to plot the specified function or surface follows the same notation as for normal rectangular graphs.
For example, to plot the horizontal (x), and vertical (y) slopes of a log-log function, enter the slope (y) in the left box of the graphing linear equations worksheet, and in the top box enter the value of the log-log (i.e., tan(x)). To plot the horizontal (x), and vertical (y) slopes of the natural log function, enter the value of the natural log that is closest to the curve that describes the data plot. To identify the set of inequalities for the graphical illustrations, use the inequality operator, and specify the x and y values in the cells defining the set of inequalities.
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The set of linear inequalities can be specified for any plane. They are based on the mathematical expression for the parabola (a plane with a single plane passing through zero degrees). You can select a parabola for your plot by selecting “Parabola” from the operating table. Use the “fit” feature of the operating table to ensure the results are accurate. Use the x and y coordinate in the graph legends to define the positions of the points for which the linear inequality is evaluated.
For more sophisticated problems, the function to plot a parabolic (a parabola) and the corresponding linear equation is also quite easy to handle. Select “VDB” to construct the parabolic parabola and enter the coordinates (x, y) in the cells defining the parabolic curve. Use “GPG” to determine the best value of the parabola’s intercept, which is the geometric mean of the plotted distance between the x-axis points. Use “SVD” for the corresponding smooth curve to plot the parabolic equation on the coordinate plane.
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Another useful feature of the Graphical Solutions program is the ability to overlay existing data onto the graph. This makes it possible to fit the data to the required graph so that the point estimate for a function is automatically calculated from the function. You can even save the graph as a template for further analysis.
Some linear equations can be very complicated. Fortunately, the Excel Graphics Wizard toolbox offers a wide range of functions to simplify these equations. Use the “heatmap” function to generate a heat map of a particular linear equation. Select a single data point from the equation, or a range of data points from different angles to obtain a dynamic heat map. The “histogram” function provides another way to visually assess the value of a linear equation.
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Graphical Solutions comes in a variety of different forms and sizes. Some are available as spreadsheets in Excel 2021. You can even download ready-made worksheets directly from the site. Other worksheets are designed to be printed in PDF format. You can also create your own worksheets using the software. Using the spreadsheet wizard, you can quickly and easily customize the form and size of the worksheet to fit your needs.
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