document.write( "Question 730169: Write an equation of the line that passes through (8,-5) and is perpendicular to the graph of the line that passes through points (3,5) and (4,9). \n" ); document.write( "
Algebra.Com's Answer #446531 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! Write an equation of the line that passes through (8,-5) and is perpendicular to the graph of the line that passes through points (3,5) and (4,9). \n" ); document.write( "*** \n" ); document.write( "Equation of a line: y=mx+b, m=slope, b=y-intercept \n" ); document.write( "slope(m)=∆y/∆x=(y1-y2)/(x1-x2) \n" ); document.write( "For the line that passes through points (3,5) and (4,9). \n" ); document.write( "m=(9-5)/(4-3)=4/1 \n" ); document.write( ".. \n" ); document.write( "For the line that passes through (8,-5), perpendicular to the first line \n" ); document.write( "m=-1/4 (negative reciprocal of slope of first line) \n" ); document.write( "equation: y=(-1/4)x+b \n" ); document.write( "solve for b using given coordinates(8,-5) on the line \n" ); document.write( "-5=(-1/4)*8+b \n" ); document.write( "-5=-2+b \n" ); document.write( "b=-3 \n" ); document.write( "equation: y=-x/4-3 \n" ); document.write( " |