document.write( "Question 515136: Give an equation to a line that satisfy the following:\r
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document.write( "1.) Passes through (0, 6) and is parallel to y = 4x - 6\r
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document.write( "2.) Passes through (-2, 3) and is perpendicular to 3x - 2y = 8\r
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document.write( "3.) has the same x intercept as y = -2x + 4 and the same y intercept as
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document.write( "7x - 4y = -3 \n" );
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Algebra.Com's Answer #343851 by mananth(16946)![]() ![]() 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 \n" ); document.write( " \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 \n" ); document.write( " \n" ); document.write( "-----------\r \n" ); document.write( "\n" ); document.write( "3 x -2 y = 8 \n" ); document.write( "Find the slope of this line \n" ); document.write( " \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 \n" ); document.write( " \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 \n" ); document.write( " \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 \n" ); document.write( " \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 \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "m.ananth@hotmail.ca \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |