document.write( "Question 499227: write the equation of the line that contains the x-intercept of 2x+3y=-(x+2y)-12 and the y-intercept of 2/3(2x+3y)=6. \n" ); document.write( "
Algebra.Com's Answer #337592 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
write the equation of the line that contains the
\n" ); document.write( ":
\n" ); document.write( "x-intercept of 2x+3y=-(x+2y)-12
\n" ); document.write( "x intercept occurs when y = 0 therefore we have
\n" ); document.write( "2x + 3(0) = -(x + 2(0)) - 12
\n" ); document.write( "2x = -x - 12
\n" ); document.write( "2x + x = -12
\n" ); document.write( "3x = -12
\n" ); document.write( "x = -4 is the x intercept
\n" ); document.write( ":
\n" ); document.write( "the y-intercept of 2/3(2x+3y)=6
\n" ); document.write( "y intercept occurs when x = 0 therfore
\n" ); document.write( "\"%282%2F3%29+%282%280%29%2B3y%29\"= 6
\n" ); document.write( "\"%282%2F3%29+%283y%29\"= 6
\n" ); document.write( "cancel 3
\n" ); document.write( "2y = 6
\n" ); document.write( "y = 3 is the y intercept
\n" ); document.write( ":
\n" ); document.write( "Write the slope intercept form y = mx + b, with these values we have
\n" ); document.write( "y = mx + 3
\n" ); document.write( "Find m using the x intercept (y=0)
\n" ); document.write( "-4m + 3 = 0
\n" ); document.write( "-4m = -3
\n" ); document.write( "m = \"%28-3%29%2F%28-4%29\"
\n" ); document.write( "m = \"3%2F4\"
\n" ); document.write( "therefore
\n" ); document.write( "y = \"3%2F4\"x + 3 is the equation\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );