document.write( "Question 463608: What is the equation of a line that passes through the point (3, -1) and is perpendicular to a line with a slope of 3/4 ? \n" ); document.write( "
Algebra.Com's Answer #317608 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
What is the equation of a line that passes through the point (3, -1) and is perpendicular to a line with a slope of 3/4
\n" ); document.write( "...
\n" ); document.write( "Standard form for a straight line: y=mx+b, m=slope, b=y-intercept
\n" ); document.write( "Slope of given line=negative reciprocal of the slope of perpendicular line=-4/3
\n" ); document.write( "y=(-4/3)x+b
\n" ); document.write( "solving for b using (x,y) coordinates of given point (3,-1)
\n" ); document.write( "-1=(-4/3)3+b
\n" ); document.write( "-1=-4+b
\n" ); document.write( "b=3
\n" ); document.write( "Equation of line:
\n" ); document.write( "y=-4x/3+3
\n" ); document.write( "
\n" );