document.write( "Question 502576: Write an equation of the line that passes through the given point and satisfies the given condition.
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document.write( "10. (-2, 3) ; parallel to y= 4x + 3
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document.write( "12. (-1, -4) ; perpendicular to y= 2x + 5\r
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document.write( "Write an equation of the line that passes through the given points.
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document.write( "14. (3,4) , (0,3)
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document.write( "16. (-5, -4) , (0, 11)
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document.write( "18. (2,8) , (5,2) \n" );
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Algebra.Com's Answer #338891 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! Write an equation of the line that passes through the given point and satisfies the given condition. \n" ); document.write( "10. (-2, 3) ; parallel to y= 4x + 3 \n" ); document.write( "slope m = 4 \n" ); document.write( "The slope of lines parallel is the same, m= 4 \n" ); document.write( "--------- \n" ); document.write( "Use y = mx + b and the point to find b: \n" ); document.write( "3 = -2*4 + b \n" ); document.write( "b = 11 \n" ); document.write( "--> y = 4x + 11 \n" ); document.write( "------------------ \n" ); document.write( "12. (-1, -4) ; perpendicular to y= 2x + 5 \n" ); document.write( "Slope = 2 \n" ); document.write( "The slope of lines perpendicular is the negative reciprocal, = -1/2 \n" ); document.write( "m = -1/2 \n" ); document.write( "Do it like #10. \n" ); document.write( "----------------- \n" ); document.write( "Write an equation of the line that passes through the given points. \n" ); document.write( "14. (3,4) , (0,3) \n" ); document.write( "Use determinants: \n" ); document.write( "--------- \n" ); document.write( "|+x +y +1| \n" ); document.write( "|+3 +4 +1| = 0 \n" ); document.write( "|+0 +3 +1| \n" ); document.write( "------ \n" ); document.write( "x(4-3) - y(3-0) +(9-0) = 0 \n" ); document.write( "x - 3y = -9 \n" ); document.write( "--------------- \n" ); document.write( "16. (-5,-4) , (0,11) \n" ); document.write( "Without determinants: \n" ); document.write( "Find the slope, m = diffy/diffx \n" ); document.write( "m = (-4-11)/(-5-0) = 3 \n" ); document.write( "Use the slope and either point, and do like #10 \n" ); document.write( "------------ \n" ); document.write( "18. (2,8) , (5,2) \n" ); document.write( "Same as #14 or #16 \n" ); document.write( " \n" ); document.write( " |