document.write( "Question 251429: What are the x- and y-intercepts of the line with equation 4x + 5y = 40? \n" ); document.write( "
Algebra.Com's Answer #183104 by PRMath(133)![]() ![]() ![]() You can put this solution on YOUR website! 4x + 5y = 40\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Here are the two facts you need to know:\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "To find your X Intercept, solve for X by making y = 0. \n" ); document.write( "To find your Y Intercept, solve for Y by making X = 0.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So let's do that. Let's do the y intercept first. I'll just \"plug\" 0 where \"X\" is in the equation:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "4x + 5y = 40 (Original equation) \n" ); document.write( "4(0) + 5y = 40 (Plugged 0 in for the X variable) \n" ); document.write( "0 + 5y = 40 \n" ); document.write( "5y = 40 \n" ); document.write( "y = 8 (Divided both sides of the equation by 5 to isolate the \"Y\")\r \n" ); document.write( "\n" ); document.write( "SO - now you know that when X = 0, then Y = 8. SO your y intercept is 8. You can use this ordered pair: (0, 8)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now let's find the X intercept. I'll just \"plug\" 0 where \"Y\" is in the equation:\r \n" ); document.write( "\n" ); document.write( "4x + 5y = 40 (Original equation) \n" ); document.write( "4x + 5(0) = 40 (Plugged 0 in for the \"Y\" variable) \n" ); document.write( "4x + 0 = 40 \n" ); document.write( "4x = 40 \n" ); document.write( "x = 10 (Divided both sides of the equation by 4 to isolate the \"X\")\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "SO - now you know that when Y = 0, then X = 10. So your X intercept is 10. You can use this ordered pair: (10, 0)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I hope this helps. :-) \n" ); document.write( " |