document.write( "Question 310384: Please show me how to find the x-intercept and y-intercept of the line 2x+3y=-18 \n" ); document.write( "
Algebra.Com's Answer #221904 by PRMath(133) ![]() You can put this solution on YOUR website! x-intercept and y-intercept of the line 2x+3y=-18 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Here are two facts to keep in mind: \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "When you want to find the X intercept SOLVE for X by making y = 0 \n" ); document.write( "When you want to find the Y intercept SOLVE for Y by making x = 0. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "It's that simple. Just plug in 0... like this:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let's find the X intercept first. We'll SOLVE FOR X by making y = 0.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2x+3y=-18 (original equation) \n" ); document.write( "2x + 3(0) = -18 (plug in 0 for the y variable) \n" ); document.write( "2x = -18 (3 times 0 equals 0, so we just wipe it out of the equation). \n" ); document.write( "x = -9 (Divide both sides by 2 to isolate the x. So, -18 divided by 2 is -9)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now we know, when y =0, then x = -9. So our X intercept is: (-9, 0)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now let's find the Y intercept. We'll SOLVE FOR Y by making x = 0. \n" ); document.write( "2x+3y=-18 (original equation) \n" ); document.write( "2(0) + 3y = -18 (plug in 0 for the X variable) \n" ); document.write( "3y = -18 (2 times 0 equals 0, so we just wipe it out of the equation). \n" ); document.write( "y = -6 (Divide both sides by 3 to isolate the y. So.. -18 divided by 3 is -6)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now we know, when x = 0, then y = -6. So our Y intercept is: (0, -6)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "That's all there is to it. I hope this was helpful. :-) \n" ); document.write( " |