document.write( "Question 457174: Use the given conditions to write an equation for the line in slope-intercept form.\r
\n" ); document.write( "\n" ); document.write( "Passing through (4, 2) and perpendicular to the line whose equation is y = 8x + 9.
\n" ); document.write( "

Algebra.Com's Answer #313685 by nerdybill(7384)\"\" \"About 
You can put this solution on YOUR website!
Passing through (4, 2) and perpendicular to the line whose equation is y = 8x + 9.
\n" ); document.write( ".
\n" ); document.write( "slope of:
\n" ); document.write( "y = 8x + 9
\n" ); document.write( "is 8
\n" ); document.write( ".
\n" ); document.write( "a line perpendicular must have a negative reciprocal slope:
\n" ); document.write( "-1/8
\n" ); document.write( ".
\n" ); document.write( "plug point and slope into point-slope form:
\n" ); document.write( "y - y1 = m(x - x1)
\n" ); document.write( "y - 2 = (-1/8)(x - 4)
\n" ); document.write( "y - 2 = (-1/8)x + 4/8
\n" ); document.write( "y - 2 = (-1/8)x + 1/2
\n" ); document.write( "y = (-1/8)x + 1/2 + 2
\n" ); document.write( "y = (-1/8)x + 1/2 + 4/2
\n" ); document.write( "y = (-1/8)x + 5/2 (this is what they're looking for)\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );