document.write( "Question 275192: write a line in parallel and perpendicular to 2x+y=-4 and the point (-4,-5) \n" ); document.write( "

Algebra.Com's Answer #200809 by checkley77(12844) $\"\"$ $\"About$

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2x+y=-4 and the point (-4,-5)
\n" ); document.write( "y=-2x-4 (red line)
\n" ); document.write( " $\"+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+-2x+-4%29+\"$ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, -2x -4).
\n" ); document.write( "This line has a slope (m)=-2.
\n" ); document.write( "A parallel line will also have a slope=-2
\n" ); document.write( "A perpendicular line will have a slope=1/2 [the negative reciprical of the original slope.
\n" ); document.write( "The parallel lin ethrough (-4,-5) is:
\n" ); document.write( "-5=-2*-4+b
\n" ); document.write( "-5=8+b
\n" ); document.write( "b=-5-8
\n" ); document.write( "b=-13 the Y intercept.
\n" ); document.write( "y=-2x-13 (red line)
\n" ); document.write( "-5=-4/2+b
\n" ); document.write( "-5=-2+b
\n" ); document.write( "b=-5+2
\n" ); document.write( "b=-3
\n" ); document.write( "y=x/2-3 (green line)
\n" ); document.write( " $\"+graph%28+300%2C+300%2C+-10%2C+20%2C+-10%2C+20%2C+-2x+-13%2C+x%2F2+-3%29+\"$ (graph 300x300 pixels, x from -10 to 20, y from -10 to 20, of TWO functions -2x -13 and x/2 -3). \n" ); document.write( "

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