document.write( "Question 390273: Write the slope-intercept equation of the line perpendicular to y = 5/2 x - 2, which passes though the point (0, 2). \n" ); document.write( "
Algebra.Com's Answer #276915 by emargo19(101)![]() ![]() ![]() You can put this solution on YOUR website! Let m1 be slope for line y = 5/2 x - 2 \n" ); document.write( "Let m2 be slope for the line perpendicular to it. \n" ); document.write( "Therefore m1=5/2 for line y=5/2x-2 \n" ); document.write( "We have to find m2. \n" ); document.write( "To find the slope of a perpendicular line we use the equation \n" ); document.write( "m1.m2= -1 \n" ); document.write( "5/2.m2= -1 \n" ); document.write( "m2= -2/5 \n" ); document.write( "Use the point slope form of the line to generate the equation for the perpendicular line. \n" ); document.write( "The lines passes through the points (0,2) \n" ); document.write( "y-y1 = m(x-x1) \n" ); document.write( "y-2 = -2/5(x-0) \n" ); document.write( "y-2 = -2/5x+0 \n" ); document.write( "y = -2/5x+2 \n" ); document.write( " \r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |