document.write( "Question 486311: Find the slope and equation of the line that contains the following 2 points A (3, 2) and (-6, 8)\r
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\n" ); document.write( "\n" ); document.write( "Given the line y = (-3/5)x – 4 Find the equation of the line parallel to the given line and contains the point (-5 ,5)\r
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\n" ); document.write( "\n" ); document.write( "Given the line y =( -2/5)x +3 Find the equation of the line perpendicular to the given line and contains the point (-4 ,-7) \n" ); document.write( "
Algebra.Com's Answer #332422 by mananth(16946)\"\" \"About 
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x1 y1 x2 y2
\n" ); document.write( "3 2 -6 8
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\n" ); document.write( "slope m = (y2-y1)/(x2-x1)
\n" ); document.write( "( 8 - 2 )/( -6 - 3 )
\n" ); document.write( "( 6 / -9 )
\n" ); document.write( "m= - 2/ 3
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\n" ); document.write( "Plug value of the slope and point ( 3 , 2 ) in
\n" ); document.write( "Y = m x + b
\n" ); document.write( "2.00 = -2 + b
\n" ); document.write( "b= 2 - -2
\n" ); document.write( "b= 4
\n" ); document.write( "So the equation will be
\n" ); document.write( "Y = - 2/3 x + 4 \r
\n" ); document.write( "\n" ); document.write( "---------\r
\n" ); document.write( "\n" ); document.write( "1 y = -3/5 x + -4
\n" ); document.write( "Divide by 1
\n" ); document.write( " y = -3/5 x -4
\n" ); document.write( "Compare this equation with y=mx+b
\n" ); document.write( "slope m = -3/5 0.8
\n" ); document.write( "The slope of a line parallel to the above line will be the same
\n" ); document.write( "The slope of the required line will be -3/5
\n" ); document.write( "m= -0.6 ,point ( -5 , 5 )
\n" ); document.write( "Find b by plugging the values of m & the point in
\n" ); document.write( "y=mx+b
\n" ); document.write( "5 = 3.00 + b
\n" ); document.write( "b= 2
\n" ); document.write( "m= -3/5
\n" ); document.write( "Plug value of the slope and b in y = mx +b
\n" ); document.write( "The required equation is y = -3/5 x + 2
\n" ); document.write( " y = - 3/ 5 x + 2 \r
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\n" ); document.write( "\n" ); document.write( "y = -2/5 x -3
\n" ); document.write( "Compare this equation with y=mx+b
\n" ); document.write( "slope m = -2/5
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\n" ); document.write( "The slope of a line perpendicular to the above line will be the negative reciprocal
\n" ); document.write( "m1*m2=-1
\n" ); document.write( "The slope of the required line will be 5/2
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\n" ); document.write( "m= 5/2 ,point (-4,-7 )
\n" ); document.write( "Find b by plugging the values of m & the point in
\n" ); document.write( "y=mx+b
\n" ); document.write( "-7 = -10.00 + b
\n" ); document.write( "b= 3
\n" ); document.write( "m= 5/2
\n" ); document.write( "The required equation is y = 5/ 2 x + 3
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\n" ); document.write( "m.ananth@hotmail.ca
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