document.write( "Question 773323: What is the slope-intercept form of a line passing through (6, 7) that is perpendicular to the line 2x - 5y = 7? \n" ); document.write( "

Algebra.Com's Answer #471435 by Cromlix(4381) $\"\"$ $\"About$

You can put this solution on YOUR website!
First sort out your equation
\n" ); document.write( "into y = mx + c form.
\n" ); document.write( "2x - 5y = 7
\n" ); document.write( "-5y = - 2x + 7
\n" ); document.write( "5y = 2x - 7
\n" ); document.write( "y = 2/5x - 7/5
\n" ); document.write( "Slope (m) is 2/5.
\n" ); document.write( "Lines that are perpendicular to
\n" ); document.write( "one another have slopes (m)
\n" ); document.write( "that multiply together to give
\n" ); document.write( "-1.
\n" ); document.write( "m1 * m2 = -1
\n" ); document.write( "2/5 * m2 = - 1
\n" ); document.write( "m2 = -5/2
\n" ); document.write( "Using the equation:
\n" ); document.write( "y - b = m(x - a) and coords (6,7)
\n" ); document.write( "a = 6, b = 7 and m = -5/2
\n" ); document.write( "y - 7 = -5/2(x - 6)
\n" ); document.write( "y - 7 = -5/2x + 30/2
\n" ); document.write( "y - 7 = -5/2x + 15
\n" ); document.write( "y = -5/2x + 15 + 7
\n" ); document.write( "y = -5/2x + 22
\n" ); document.write( "OR
\n" ); document.write( "Multiply thro' by 2
\n" ); document.write( "2y = -5x + 44
\n" ); document.write( "Hope this helps.
\n" ); document.write( ":-) \n" ); document.write( "

\n" );