document.write( "Question 551279: The Line Parallel To y=-2x+4 Through (-4,3) \n" ); document.write( "
Algebra.Com's Answer #359591 by fcabanski(1391)\"\" \"About 
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Use the slope-intercept form of a line equation which is y=mx+b.
\n" ); document.write( "m = slope, b= y-intercept (where x=0).


\n" ); document.write( "The original line is y = -2x + 4 with m=slope=-2 and y-intercept 4.


\n" ); document.write( "Parallel lines have the same slope, so the new line's slope is -4 and it's general equation is y = -4x + b.


\n" ); document.write( "The new line passes through (-4,3), so find b by plugging those values (x,y) in for x and y.


\n" ); document.write( "3=-4*-4 + b
\n" ); document.write( "3 = 16+b
\n" ); document.write( "-13 = b


\n" ); document.write( "The equation of the line is y = -4x - 13
\n" ); document.write( "

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