document.write( "Question 86732: please help me solve this problem: what is the slope of the line 3x+2y=6 ? \n" ); document.write( "
Algebra.Com's Answer #62753 by bucky(2189)![]() ![]() ![]() You can put this solution on YOUR website! An easy way to find the slope is to work the equation into the slope-intercept form which \n" ); document.write( "is given by the equation: \n" ); document.write( ". \n" ); document.write( "y = mx + b \n" ); document.write( ". \n" ); document.write( "In this form m is the slope and b is the value on the y-axis where the graph crosses \n" ); document.write( "the axis. \n" ); document.write( ". \n" ); document.write( "So take the given equation 3x + 2y = 6 and solve it for y. \n" ); document.write( ". \n" ); document.write( "First step, subtract 3x from both sides to get: \n" ); document.write( ". \n" ); document.write( "2y = -3x + 6 \n" ); document.write( ". \n" ); document.write( "Then divide both sides (all terms) by 2 to solve for y. When you do that division you \n" ); document.write( "get: \n" ); document.write( ". \n" ); document.write( "y = (-3/2)x + 3 \n" ); document.write( ". \n" ); document.write( "By comparing this with the slope intercept form, you can see that m, the slope, is -3/2 \n" ); document.write( "and you can tell that the graph crosses the y-axis at the value y = +3. \n" ); document.write( ". \n" ); document.write( "Hope this helps you understand the problem. \n" ); document.write( " |