document.write( "Question 515136: Give an equation to a line that satisfy the following:\r
\n" ); document.write( "\n" ); document.write( "1.) Passes through (0, 6) and is parallel to y = 4x - 6\r
\n" ); document.write( "\n" ); document.write( "2.) Passes through (-2, 3) and is perpendicular to 3x - 2y = 8\r
\n" ); document.write( "\n" ); document.write( "3.) has the same x intercept as y = -2x + 4 and the same y intercept as
\n" ); document.write( "7x - 4y = -3
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Algebra.Com's Answer #343851 by mananth(16946)\"\" \"About 
You can put this solution on YOUR website!
1 y = 4 x -6
\n" ); document.write( "Divide by 1
\n" ); document.write( " y = 4 x -6
\n" ); document.write( "Compare this equation with y=mx+b
\n" ); document.write( "slope m = 4 0.8
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\n" ); document.write( "m= 4 ,point ( 0 , 6 )
\n" ); document.write( "Find b by plugging the values of m & the point in
\n" ); document.write( "y=mx+b
\n" ); document.write( "6 = 0.00 + b
\n" ); document.write( "b= 6
\n" ); document.write( "m= 4
\n" ); document.write( "Plug value of the slope and b in y = mx +b
\n" ); document.write( "The required equation is
\n" ); document.write( " y = 4 x + 6
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\n" ); document.write( "\n" ); document.write( "3 x -2 y = 8
\n" ); document.write( "Find the slope of this line
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\n" ); document.write( "-2 y = -3 x + 8
\n" ); document.write( "Divide by -2
\n" ); document.write( " y = 3/2 x -4
\n" ); document.write( "Compare this equation with y=mx+b
\n" ); document.write( "slope m = 3/2
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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 -2/3
\n" ); document.write( "
\n" ); document.write( "m= - 2/3 ,point ( -2 , 3 )
\n" ); document.write( "Find b by plugging the values of m & the point in
\n" ); document.write( "y=mx+b
\n" ); document.write( "3 = 1.33 + b
\n" ); document.write( "b= 1.67
\n" ); document.write( "m= - 2/3
\n" ); document.write( "The required equation is y =- 2/ 3x+5/ 3\r
\n" ); document.write( "\n" ); document.write( "-------------\r
\n" ); document.write( "\n" ); document.write( "has the same x intercept as y = -2x + 4 and the same y intercept as
\n" ); document.write( "7x - 4y = -3\r
\n" ); document.write( "\n" ); document.write( "y = -2x + 4
\n" ); document.write( "for x intercept plug y=0
\n" ); document.write( "x intercept = 2
\n" ); document.write( "(2,0) is the intersection point
\n" ); document.write( "7x - 4y = -3
\n" ); document.write( "For y intercept plug x=0
\n" ); document.write( "-4y=-3
\n" ); document.write( "y=3/4
\n" ); document.write( "(0,3/4) is the y intercept point\r
\n" ); document.write( "\n" ); document.write( "The line passes through (2,0) & (0,3/4)
\n" ); document.write( "x1 y1 x2 y2
\n" ); document.write( "2 0 0 0.75
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\n" ); document.write( "slope m = (y2-y1)/(x2-x1)
\n" ); document.write( "( 0.75 - 0 )/( 0 - 2 )
\n" ); document.write( "( 0.75 / -2 )
\n" ); document.write( "m= - 3/ 8
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\n" ); document.write( "Plug value of the slope and point ( 2 , 0 ) in
\n" ); document.write( "Y = m x + b
\n" ); document.write( "0.00 = - 3/4 + b
\n" ); document.write( "b= 0 - - 3/4
\n" ); document.write( "b= 3/ 4
\n" ); document.write( "So the equation will be
\n" ); document.write( "Y = - 3/8 x + 3/4 \r
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\n" ); document.write( "\n" ); document.write( "m.ananth@hotmail.ca \r
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