document.write( "Question 416286: WRITE AN EQUATION OF A LINE CONTAINING THE GIVEN POINT, AND PERPENDICULAR TO A GIVEN LINE: write answer in y=mx+b form
\n" ); document.write( "(9,2)
\n" ); document.write( "5x+y=7 \n" ); document.write( "
Algebra.Com's Answer #291667 by nerdybill(7384)\"\" \"About 
You can put this solution on YOUR website!
Begin by finding the slope of:
\n" ); document.write( "5x+y=7
\n" ); document.write( "do this by putting the equation in \"slope-intercept\" form:
\n" ); document.write( "y = -5x + 7
\n" ); document.write( "by inspection, we see that the slope is -5
\n" ); document.write( ".
\n" ); document.write( "A line perpendicular, must have a slope that is the \"negative reciprocal\":
\n" ); document.write( "(-5)m = -1
\n" ); document.write( "m = 1/5 (this is the slope of the new line)
\n" ); document.write( "using the slope and the given point:
\n" ); document.write( "(9,2)
\n" ); document.write( "plug into the \"point-slope\" form:
\n" ); document.write( "y - y1 = m(x - x1)
\n" ); document.write( "y - 2 = (1/5)(x - 9)
\n" ); document.write( "y - 2 = (1/5)x - 9/5
\n" ); document.write( "y = (1/5)x - 9/5 + 2
\n" ); document.write( "y = (1/5)x - 9/5 + 10/5
\n" ); document.write( "y = (1/5)x + 1/5 (this is what they're looking for)\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );