



 
Hi Diem, The equation 2x3y+15=0 is a linear function (because the degrees of both variables is one). There are a few different techniques one could use to graph a linear function, but it is usually helpful to rearrange the equation to isolate the y variable and have the equation in y=mx+b form, where m tells us the slope of the line (rise/run) and b is the value of the yintercept (where the line crosses the yaxis). I will use the equation 3x  4y + 8 = 0 to illustrate the technique of isolating y: The slope and yintercept information is sufficient to graph the line: For example, given y=3x/4 +2 as the equation, you would plot a point at 2 on the yaxis (0, 2) and then move 3up and 4 to the right and plot the second point there (4, 5).  finally, join the two points to draw the graph of the line Alternatively one could create a table of values where you choose about 3 different x values (any x values) and work out their corresponding y values. These x,y pairs are points on the line. You plot these points and join them to draw the graph of the line. Hope this helps. Leeanne  


Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences. 