document.write( "Question 919482: Please help me solve this problem !!!!!
\n" ); document.write( "In triangle ABC, A and B are the points where the equation y= 3/4x-6 crosses the x-axis and yaxis respectively, while C is the point where 4x + 3y=32 crosses the yaxis. Fnd the number of square units in the area of triangle ABC. \n" ); document.write( "
Algebra.Com's Answer #557748 by Theo(13342)\"\" \"About 
You can put this solution on YOUR website!
the y-intercept is the value of y when x = 0.
\n" ); document.write( "when x = 0, the equation of y = 3/4 * x - 6 becomes y = 3/4 * 0 - 6 which becomes y = -6.
\n" ); document.write( "point A is at (0,-6)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "the x-intercept is the value of x when y= 0.
\n" ); document.write( "when y = 0, the equation of y = 3/4 * x - 6 becomes 0 = 3/4 * x - 6.
\n" ); document.write( "add 6 to both sides of this equation to get 6 = 3/4 * x.
\n" ); document.write( "multiply both sides of this equation by 4/3 to get 4/3 * 6 = x.
\n" ); document.write( "solve for x to get x = 8.
\n" ); document.write( "point B is at (8,0)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "the area of the triangle is equal to 1/2 * base * height.
\n" ); document.write( "base = 8
\n" ); document.write( "height = 6
\n" ); document.write( "area = 1/2 * 8 * 6 = 4 * 6 = 24 square units.
\n" ); document.write( " \n" ); document.write( "
\n" );