document.write( "Question 386136: write the standard form of the equation of a line that is perpendicular to the graph of the given equation and passes through the point with the given coordinates 4x-2y+2=0; (1,4) \n" ); document.write( "

Algebra.Com's Answer #273017 by ewatrrr(24785) $\"\"$ $\"About$

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document.write( "Hi
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document.write( "Line perpendicular to 4x-2y+2=0  OR y = 2x+1  slope = 2
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document.write( "New line will have a slope = -1/2  (negative reciprocal of 2)
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document.write( "the standard 'slope-intercept form' for an equation of a line: y = mx + b 
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document.write( " where m is the slope and b the y-intercept.  
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document.write( "y = -.5x + b Using ordered pair Pt(1,4) to solve for b
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document.write( " 4 = -.5*1 + b
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document.write( " 4.5 = b
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document.write( "y = -.5x + 4.5  OR   5x + 10y = 45 (in standard from)
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