document.write( "Question 154642: A straight line passes through the point (4,3) and is perpendicular to the line joining the points (-1,3) and (1,-1). Find the equation of this line. \n" ); document.write( "
Algebra.Com's Answer #113893 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! A straight line passes through the point (4,3) and is perpendicular to the line joining the points (-1,3) and (1,-1). Find the equation of this line. \n" ); document.write( "------------------- \n" ); document.write( "Find the slope of the line thru the 2 points: \n" ); document.write( "m1 = (y2 - y1)/(x2 - x1) \n" ); document.write( "m1 = (-1 -3)/(1 -(-1)) \n" ); document.write( "m1 = -4/2 = -2 \n" ); document.write( "To be perpendicular, the slope m2 is the negative inverse of m1, -1/m1 \n" ); document.write( "m2 = 1/2 \n" ); document.write( "Use (x3,y3) = (4,3) \n" ); document.write( "y - y3 = m2*(x - x3) \n" ); document.write( "y - 3 = (1/2)*(x - 4) \n" ); document.write( "2y - 6 = x - 4 \n" ); document.write( "x - 2y = -2 \n" ); document.write( " \n" ); document.write( " |