document.write( "Question 174586: Find the Equation for the line with given properties:\r
\n" ); document.write( "\n" ); document.write( "Parallel to the lines 5x+2y=10; containing the point (4,-4)\r
\n" ); document.write( "\n" ); document.write( "Perpendicular to the line x-6y=6; containing (4,4)\r
\n" ); document.write( "\n" ); document.write( "Perpendicular to the line 4x-7y=-56; containing the point (-7,-4)\r
\n" ); document.write( "\n" ); document.write( "Perpendicular to the line -5x+6y=4; y - intercept =3\r
\n" ); document.write( "\n" ); document.write( "Perpendicular to the line 6x-3y=8; containing the point (0,8)\r
\n" ); document.write( "\n" ); document.write( "Find the midpoint of the line segment joining the points P1 and P2:
\n" ); document.write( "P1=(y,7); P2= (0,2)\r
\n" ); document.write( "\n" ); document.write( "I could really use the help for these problems....Thank you...I am stuck
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Algebra.Com's Answer #129611 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
For each problem you need slope and intercept.
\n" ); document.write( "The form is always y = mx + b; m is the slope; b is the intercept.
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\n" ); document.write( "\n" ); document.write( "Find the Equation for the line with given properties:
\n" ); document.write( "Parallel to the lines 5x+2y=10; containing the point (4,-4)
\n" ); document.write( "slope = -5/2 ;
\n" ); document.write( "intercep: -4 = (-5/2)*4 = b
\n" ); document.write( "b = 6
\n" ); document.write( "Equation: y = (-5/2)x + 6
\n" ); document.write( "Same Equation: 2y + 5x = 12
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\n" ); document.write( "Perpendicular to the line x-6y=6; containing (4,4)
\n" ); document.write( "Given line slope: (1/6)
\n" ); document.write( "Perpendicular line slope: -6
\n" ); document.write( "intercept: 4 = -6*4 + b
\n" ); document.write( "b = 28
\n" ); document.write( "Equation: y = -6x + 28
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\n" ); document.write( "Perpendicular to the line 4x-7y=-56; containing the point (-7,-4)
\n" ); document.write( "Given line slope: (4/7)
\n" ); document.write( "Perpendicular line slope: -7/4
\n" ); document.write( "intercept: -4 = (-7/4)*-7 + b
\n" ); document.write( "b = -53/4
\n" ); document.write( "EQuation: y = (-7/4)x - (53/4)
\n" ); document.write( "Same Equation: 4y + 7x = -53
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\n" ); document.write( "\n" ); document.write( "Perpendicular to the line -5x+6y=4; y-intercept =3
\n" ); document.write( "Given line slope: 5/6
\n" ); document.write( "Perpendicular line slope: -6/5
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\n" ); document.write( "intercept: y = 3
\n" ); document.write( "Equation: y = (-6/5)x + 3
\n" ); document.write( "Same Equation: 5y+6x = 15
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\n" ); document.write( "\n" ); document.write( "Perpendicular to the line 6x-3y=8; containing the point (0,8)
\n" ); document.write( "Given line slope: 6/3 = 2
\n" ); document.write( "Perpendicular line slope: -1/2
\n" ); document.write( "----
\n" ); document.write( "Intercept: 8 = (-1/2)*0 = b
\n" ); document.write( "b = 8
\n" ); document.write( "Equation: y = (-1/2)x + 8
\n" ); document.write( "Same Equation: 2y + x = 16\r
\n" ); document.write( "\n" ); document.write( "----------------------------
\n" ); document.write( "Find the midpoint of the line segment joining the points P1 and P2:
\n" ); document.write( "P1=(y,7); P2= (0,2)
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\n" ); document.write( "The x-coordinate of the mid-point is the average of the x-coordinates
\n" ); document.write( "of the end points.
\n" ); document.write( "The y-coordinate of the mid-point is the average of the y-coordinates
\n" ); document.write( "of the end points.
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\n" ); document.write( "mid-point: ((y+0)/2 , (7+2)/2) or (y/2, 9/2)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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