document.write( "Question 243245: Which is the graph of 3x-5y=8 \n" ); document.write( "
Algebra.Com's Answer #178215 by oberobic(2304) ![]() You can put this solution on YOUR website! Solve the equation to set y = something. Remember the fundamental linear equation is y = mx + b. \n" ); document.write( "... \n" ); document.write( "Start with the initial equation: \n" ); document.write( "3x - 5y = 8 \n" ); document.write( "Subtract 3x from both sides: \n" ); document.write( "-5y = 8 - 3x = -3x + 8 \n" ); document.write( "Divide both sides by -5 \n" ); document.write( "y = -3x/-5 + 8/-5 \n" ); document.write( "Which looks like the following when formatted: \n" ); document.write( " \n" ); document.write( "Now you just graph it: \n" ); document.write( " \n" ); document.write( "... \n" ); document.write( "We can check our graph by visually inspecting it. \n" ); document.write( "It slopes up to the right, so the slope is positive. \n" ); document.write( "Our 'm' term (the slope) is 3/5, which is right. \n" ); document.write( "The y-intercept is -8/5 = -1.6, which is right. \n" ); document.write( "The x-intercept is the value of x that makes y=0, which is right, too. \n" ); document.write( " |