document.write( "Question 335167: find the value of \"a\" if a line containing the point (a,-3a)has a y-intercept of 7 and a slope of -2/3 \n" ); document.write( "
Algebra.Com's Answer #240202 by benazir.sj@gmail.com(109)\"\" \"About 
You can put this solution on YOUR website!
solution:\r
\n" ); document.write( "\n" ); document.write( "Given
\n" ); document.write( "(x1,y1)= (a,-3a)
\n" ); document.write( "slope m = -2/3
\n" ); document.write( "yintercept b=7\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "the slope point form is
\n" ); document.write( " y-y1 =m(x-x1)
\n" ); document.write( "substitute the given values of x1 and y1\r
\n" ); document.write( "\n" ); document.write( "y-(-3a) = -2/3(x-a)
\n" ); document.write( "y+3a =-2/3x+2/3a
\n" ); document.write( "y =-2/3x +2/3a-3a
\n" ); document.write( "y=-2/3x +2/3a-9/3a
\n" ); document.write( "y=-2/3x-7/3a
\n" ); document.write( " the equation was in the form of slope intercept
\n" ); document.write( "y=mx+b
\n" ); document.write( "ie, y=-2/3x-7/3a\r
\n" ); document.write( "\n" ); document.write( "and also we know that y intercept b =7
\n" ); document.write( "ie,-7/3a =7
\n" ); document.write( "-7a =7*3
\n" ); document.write( "a=-3
\n" ); document.write( " \n" ); document.write( "
\n" );