document.write( "Question 81293: a radio beacon is located at (-1, 0), and another at (2, -1). A navigator's equipment tells her that the line joining her position to the first beacon has slope -5 and the line joining her positon to the second beacon has slope 3. What is the navigator's approximate location? \n" ); document.write( "
Algebra.Com's Answer #58228 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
a radio beacon is located at (-1, 0), and another at (2, -1). A navigator's equipment tells her that the line joining her position to the first beacon has slope -5 and the line joining her positon to the second beacon has slope 3. What is the navigator's approximate location?
\n" ); document.write( "---------------
\n" ); document.write( "Plot the two points.
\n" ); document.write( "Find the equation of the line thru (-1,0) with a slope of -5
\n" ); document.write( "y=mx+b
\n" ); document.write( "0=-5(-1)+b
\n" ); document.write( "b=-5
\n" ); document.write( "EQUATION #1: y=-5x-5
\n" ); document.write( "-------------
\n" ); document.write( "Find the equation of the line thru (2,-1) with a slope of 3
\n" ); document.write( "y=mx+b
\n" ); document.write( "-1=3*2+b
\n" ); document.write( "b=-7
\n" ); document.write( "EQUATION #2: y=3x-7
\n" ); document.write( "----------------------
\n" ); document.write( "Find the intersection of the two lines:
\n" ); document.write( "-5x-5=3x-7
\n" ); document.write( "2x=2
\n" ); document.write( "x=1
\n" ); document.write( "Substitute to find \"y\":
\n" ); document.write( "y=-5*1-5
\n" ); document.write( "y=-10
\n" ); document.write( "--------------
\n" ); document.write( "The point you want is (1,-10)
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "
\n" );