document.write( "Question 137695: my question is find the equation of a line passing through the point (5,-3) that is perpendicular to the line 3x + 4y=24. use slope intercept formula.
\n" ); document.write( "thanks a lot \n" ); document.write( "
Algebra.Com's Answer #100698 by dolly(163)\"\" \"About 
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Hi,
\n" ); document.write( "The given line is 3x + 4y = 24
\n" ); document.write( "==> 4y = - 3x + 24
\n" ); document.write( "==> y = - (3/4)x + 6 [ dividing by 4]\r
\n" ); document.write( "\n" ); document.write( "This is the slope intercept form where the slope is -(3/4)\r
\n" ); document.write( "\n" ); document.write( "So the slope of the required line = (4/3) [ as the product of the slopes of perpendicular lines is -1]\r
\n" ); document.write( "\n" ); document.write( "This line passes through (5, -3)\r
\n" ); document.write( "\n" ); document.write( "So using the slope point form the equation is:\r
\n" ); document.write( "\n" ); document.write( "y - (-3) = (4/3)(x-5)
\n" ); document.write( "==> y + 3 = (4/3)(x-5)
\n" ); document.write( "==> 3(y+3) = 4(x-5)
\n" ); document.write( "==> 3y + 9 = 4x - 20
\n" ); document.write( "==> 3y = 4x - 20 - 9
\n" ); document.write( "==> 3y = 4x - 29\r
\n" ); document.write( "\n" ); document.write( "Thus the equation of the required line is 3y = 4x - 29 or 4x - 3y = 29\r
\n" ); document.write( "\n" ); document.write( "good luck!!!\r
\n" ); document.write( "\n" ); document.write( "dolly\r
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