document.write( "Question 871197: Dear Math Tutor,\r
\n" ); document.write( "\n" ); document.write( "The curve y=1+1/(2+x) crosses the x-axis at the point A and the y-axis at the point B.
\n" ); document.write( "a) Calculate the coordinates of A and B
\n" ); document.write( "b) Find the equation of line AB
\n" ); document.write( "c) Calculate the coordinates of the point of intersection of the line AB and the line with equation 3y=4x\r
\n" ); document.write( "\n" ); document.write( "For a) Do I use: y=mx+b and does mx=1 and b=1/(2+x)?\r
\n" ); document.write( "\n" ); document.write( "With Gratitude,
\n" ); document.write( "Nats \n" ); document.write( "

Algebra.Com's Answer #525367 by ewatrrr(24785) $\"\"$ $\"About$

You can put this solution on YOUR website!


\n" );
document.write( "Hi
\n" );
document.write( "0 = 1 + 1/(2+x)
\n" );
document.write( "-1 = 1/(2+x)
\n" );
document.write( " x = -3   
\n" );
document.write( "A = (-3,0)
\n" );
document.write( "y = 1+1/2  when x = 0
\n" );
document.write( "B = (0, 1.5)
\n" );
document.write( "c) Calculate the coordinates of the point of intersection of the line AB and the line with equation 3y=4x   0r 
\n" );
document.write( "B(0, 1.5)
\n" );
document.write( "A(-3 ,0) m = 1.5/3 = 1/2
\n" );
document.write( "Line AB
\n" );
document.write( " y - 0 = (1/2)(x+3)   ***Using point-slope form, P(-3,0)
\n" );
document.write( "   Line AB
\n" );
document.write( " Calculating the coordinates of the point of intersection line AB and line 
\n" );
document.write( "
\n" );
document.write( "     8x = 3x + 9
\n" );
document.write( "     5x = 9
\n" );
document.write( "      x = 9/5 = 1.8  and y = 36/15 = 12/5 = 2.4
\n" );
document.write( "(1.8, 2.4) Point of Intersection
\n" );
document.write( " \n" );
document.write( "

\n" );