 Quandaries and Queries I need to know how to graph inequalities. I need to know just abot everything. From graphing an equation to shading.thanx! Hi Janice, Graphing lines can be accomplished by any of the following methods: create a table of values by choosing values for x and working out the values for y.  Plot the resulting points and join them with a straight line. Ex.  y = 2x - 1 x:  -2, -1, 0, 1, 2 y:  -5, -3, -1, 1, 3          Now plot (-2, -5), (-1, -3), (0, -1), (1, 1), and (2, 3) and join them with a straight line. find the x-intercept and y-intercept and join them with a straight line Ex.  3x + 4y = 12 x-int:   3x = 12            y-int:  4y = 12             x = 4                        y = 3            Plot (4, 0)                Plot (0, 3)  Now join these 2 points to get the line. determine the slope and y-intercept of the line, plot the y-intercept and find a second point on the line by moving vertically and horizontally according to the rise/run of the slope. Ex.  y = 3x + 5    slope = 3 (or 3/1 in "rise over run" form), y-intercept = 5                          Plot the point (0, 5).                          Move up 3 units and to the right 1 unit from the y-intercept.  Plot a second point here.                          Now join these two points to get the line.   To graph a linear inequality, follow the following steps: Replace the inequality sign with an equal sign and graph the resulting line.  - If the inequality is a greater than (>) or a less than (<) you will graph the line as a dotted line.  - If the inequality includes "or equal to" as in "greater than or equal to", you graph the line as a solid line. Choose a point on one side of the line (not on the line!) and substitute the coordinates into the inequality you started with.   - If you get a true mathematical statement (like 4<9), then you want to shade the side of the line that contains the point you used to do the test.  - If you get a false mathematical statement (like 0>3), then you want to shade the side of the line that does not contain the point you used to do the test. Hope this helps, Leeanne Go to Math Central