document.write( "Question 81659: At what points does the line 4x + 12 = 3y cross the x and y axes? \n" ); document.write( "
Algebra.Com's Answer #58541 by matthewatcfs(3)![]() ![]() ![]() You can put this solution on YOUR website! No problem at all!\r \n" ); document.write( "\n" ); document.write( "Think about it for a moment.\r \n" ); document.write( "\n" ); document.write( "When something crosses the x axis, it has NO y value--or zero. So, anything that intersects the x axis would have the point (#,0).\r \n" ); document.write( "\n" ); document.write( "When something crosses the y axis, it has NO x value--or zero. So, anything that intersects the y axis would have the point (0,#).\r \n" ); document.write( "\n" ); document.write( "Now, using that information, to find where 4x + 12 = 3y crosses the x axis, simply plug 0 in for y--since y has to be 0 for it to be true.\r \n" ); document.write( "\n" ); document.write( "4x + 12 = 3y \n" ); document.write( "4x + 12 = 3(0) \n" ); document.write( "4x + 12 = 0 \n" ); document.write( "4x + 12 - 12 = 0 - 12 \n" ); document.write( "4x = -12 \n" ); document.write( "4x/4 = -12/4 \n" ); document.write( "x = -3\r \n" ); document.write( "\n" ); document.write( "This line crosses the x axis at the point (-3,0).\r \n" ); document.write( "\n" ); document.write( "Now, the y axis.\r \n" ); document.write( "\n" ); document.write( "To find where 4x + 12 = 3y crosses the y axis, simply plug 0 in for x--since x has to be 0 for it to be true.\r \n" ); document.write( "\n" ); document.write( "4x + 12 = 3y \n" ); document.write( "4(0) + 12 = 3y \n" ); document.write( "0 + 12 = 3y \n" ); document.write( "12 = 3y \n" ); document.write( "12/3 = 3y/3 \n" ); document.write( "4 = y\r \n" ); document.write( "\n" ); document.write( "This line crosses the x axis at the point (0, 4). \n" ); document.write( " |