document.write( "Question 502766: find an equation of the line through the given point , write the equation in standard form through (-4,1) and(1,-3) \n" ); document.write( "
Algebra.Com's Answer #339037 by Maths68(1474)\"\" \"About 
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Points
\n" ); document.write( "(x1, y1) = (-4,1)
\n" ); document.write( "(x2, y2) = (1, -3)
\n" ); document.write( "Use Point-slope form
\n" ); document.write( "m=(y2-y1)/(x2-x1)
\n" ); document.write( "Plug in the values in above equation
\n" ); document.write( "m=(-3-1)/(1-(-4))
\n" ); document.write( "m=(-4)/(1+4)
\n" ); document.write( "m=-4/5
\n" ); document.write( "Use equation of slope-intercept form
\n" ); document.write( "y=mx+b
\n" ); document.write( "Put the values of m and any of two points (-4,1) or (1,-3)in above equation
\n" ); document.write( "first (-4, 1)
\n" ); document.write( "1=(-4/5)(-4)+b
\n" ); document.write( "1=16/5 + b
\n" ); document.write( "1 - 16/5 = b
\n" ); document.write( "5-16 / 5 = b
\n" ); document.write( "-11/5=b
\n" ); document.write( "b=-11/5\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Now (1,-3)
\n" ); document.write( "y=mx+b
\n" ); document.write( "-3=(-4/5)(1)+b
\n" ); document.write( "-3=-4/5+b
\n" ); document.write( "-3 + 4/5 = b
\n" ); document.write( "(-15+4)/5 = b
\n" ); document.write( "-11/5=b\r
\n" ); document.write( "\n" ); document.write( "Put the value of b in the equation of the line (standard form)
\n" ); document.write( "y=mx+b
\n" ); document.write( "y=(-4/5)x+(-11/5)
\n" ); document.write( "y=(-4/5)x-(11/5)
\n" ); document.write( " \n" ); document.write( "
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