document.write( "Question 1210246: can you help me and show me the coordianites on a graph for 2x-3y=12 \n" ); document.write( "
Algebra.Com's Answer #851741 by greenestamps(13200)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "The equation is a linear equation, so you only need to plot two points to draw the line. \n" ); document.write( "The other tutor shows one way to find two points by solving the given equation for y, then choosing two convenient values of x to find the corresponding y values, giving the two needed points. \n" ); document.write( "While that method is valid, it is more work than necessary. There is no need to solve the equation for y; it is less work to simply choose \"nice\" values for the equation in its given form. \n" ); document.write( "Specifically, it is easy to choose x=0 and find the corresponding value of y, and to choose y=0 and find the corresponding value of x. Note that that gives you the x- and y-intercepts of the graph, which might be of particular importance in a particular problem. \n" ); document.write( "x=0: \n" ); document.write( "2(0)-3y=12 \n" ); document.write( "-3y=12 \n" ); document.write( "y=12/(-3)=-4 \n" ); document.write( "One point on the graph is (0,-4) \n" ); document.write( "y=0: \n" ); document.write( "2x-3(0)=12 \n" ); document.write( "2x=12 \n" ); document.write( "x=6 \n" ); document.write( "Another point on the graph is (6,0) \n" ); document.write( "Plot those two points and draw the line containing them. \n" ); document.write( " \n" ); document.write( " |