document.write( "Question 179846: Two parallel lines y=-2x+2 and y=-2x-3 are intersected by a transversal with slope 1/2 which crosses the y axis at 2. What is the distance between the two points where the transversal intersects the parallel lines? \n" ); document.write( "

Algebra.Com's Answer #134797 by HyperBrain(694) $\"\"$ $\"About$

You can put this solution on YOUR website!
The transversal has slope 1/2 and passes through (0,2)[y-intercept].So,\r
\n" ); document.write( "\n" ); document.write( "y-2=x/2
\n" ); document.write( "2y-4=x
\n" ); document.write( "x=2y-4\r
\n" ); document.write( "\n" ); document.write( "Subtituting this to y=-2x+2,
\n" ); document.write( "y=-2(2y-4)+2
\n" ); document.write( "y=(-4y+8)+2
\n" ); document.write( "y=-4y+10
\n" ); document.write( "5y=10
\n" ); document.write( "y=2
\n" ); document.write( "x=2y-4=2(2)-4=4-4=0 The point of intersection is (0,2)\r
\n" ); document.write( "\n" ); document.write( "Substituting x=2y-4 to y=-2x-3,
\n" ); document.write( "y=-2(2y-4)-3
\n" ); document.write( "y=(-4y+8)-3
\n" ); document.write( "y=-4y+5
\n" ); document.write( "5y=5
\n" ); document.write( "y=1
\n" ); document.write( "x=2y-4=2(1)-4=2-4=-2 The point of intersection is (-2,1)\r
\n" ); document.write( "\n" ); document.write( "The distance between (0,2) and (-2,1)\r
\n" ); document.write( "\n" ); document.write( "

\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Power up,
\n" ); document.write( "HyperBrain!\r
\n" ); document.write( "\n" ); document.write( "Stop this mess! Click here \n" ); document.write( "

\n" );