Graphing slope-intercept form.
Build a line from its rule.

Turn six equations in y=mx+b into coordinate tables and straight-line graphs. Locate the intercept, use the slope and verify another point before extending your line.

Use the student pack for an attempt, then compare the separate reference or worked answer. Every case is original. All PDF and editable SVG resources are free without signup; each collection pack repeats its individual sheets in the same order.

The examples and datasets are made for these worksheets. They are not measured classroom results, published textbook questions or evidence about real people. Axis values and the supplied data determine the answers; paper measurements do not replace those numbers.

GL01: A fractional rise

The table gives one worked case so you can check the method. The separate answer files contain the completed plots and results for every case. Equivalent fractions or another correct pair of collinear points can represent the same line.

1. Identifying Slope and Intercept Begin by locating the specific slope and y-intercept values defined in each case. For example, in case GL01, the slope is two-thirds and the intercept is one. These values dictate the line's direction and starting point on the vertical axis. Students must recognize that the slope represents the rise over run ratio, while the intercept marks where the line crosses the y-axis. This initial identification ensures the plotted line matches the linear equation structure y equals mx plus b, providing a clear foundation for subsequent plotting steps without relying on external measurement tools.
2. Calculating Coordinate Points Substitute the provided x-values into the equation to determine corresponding y-values. For instance, in case GL02, use x-values of negative four, zero, and four with a slope of negative one-half and intercept of two. Calculate each y-value precisely using substitution rather than physical estimation. This step generates three distinct coordinate pairs that serve as anchor points for the line. Accurate calculation ensures the plotted points align correctly with the grid, allowing students to verify their arithmetic before moving to the visual plotting phase on the empty labeled grid.
3. Draw and check a third point Plot the y-intercept at (0,b), then use the signed slope to locate another point. A positive run paired with a negative rise moves right and down. Alternatively, calculate the three supplied table values before drawing. A straightedge can help join collinear points; it does not supply the numerical slope. Check that every table point lies on the same line. For GL02, x=-4,0,4 gives y=4,2,0. If a point misses the line, recheck its substitution and axis position before changing the equation.

Choose the Letter or A4 file that matches your paper. Actual size / 100% preserves the designed layout; a different uniform print scale changes physical lengths but does not change the listed numbers or the arithmetic. Keep the whole chart and all labels inside the printable area. A ruler can help draw straight segments, but calculate from the stated numerical scale.

These files have digital geometry, arithmetic and page-boundary checks. Physical printer and classroom trials have not been completed. The resources are practice material, with no claim of curriculum certification or precision-instrument accuracy. The original files use CC BY 4.0: credit Zumola, link the license and indicate changes.

Further reading: OpenStax: slope-intercept form. The data tables, illustrations and exercise cases here are original Zumola work.