document.write( "Question 474131: Write the equation of the line that satisfies the given conditions. Express the final equation in standard form.
\n" ); document.write( "Contains the point (-2, 3) and is perpendicular to the line 4x − y = 4 \n" ); document.write( "
Algebra.Com's Answer #325373 by lwsshak3(11628)\"\" \"About 
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Write the equation of the line that satisfies the given conditions. Express the final equation in standard form.
\n" ); document.write( "Contains the point (-2, 3) and is perpendicular to the line 4x − y = 4
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\n" ); document.write( "Standard form of an equation for a straight line: y=mx+b, m=slope, b=y-intercept
\n" ); document.write( "For given line:
\n" ); document.write( "4x-y=4
\n" ); document.write( "y=4x-4, m=4, y-intercept=-4
\n" ); document.write( "..
\n" ); document.write( "For line perpendicular to given line:
\n" ); document.write( "m=negative reciprocal=-1/4
\n" ); document.write( "y=(-1/4)x+b
\n" ); document.write( "solving for b using given point (-2,3)
\n" ); document.write( "3=(-1/4)(-2)+b
\n" ); document.write( "3=1/2+b
\n" ); document.write( "b=3-1/2=5/2
\n" ); document.write( "Equation: y=-x/4+5/2
\n" ); document.write( "See graph below as a visual check on the answer
\n" ); document.write( "..
\n" ); document.write( "\"+graph%28+300%2C+300%2C+-10%2C10%2C+-10%2C+10%2C+4x-4%2C-x%2F4%2B5%2F2%29+\" \n" ); document.write( "
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