document.write( "Question 1016165: Two lines are perpindicular if either the product of their slope is -1 or one line is vertical and the other is horizontal. Write an equation of the line perpindicular to the line given by 2x-3y=1 and having the same y-intercept as the line given by 3x+2y=6 \n" ); document.write( "
Algebra.Com's Answer #632563 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Two lines are perpendicular if either the product of their slope is -1 or one line is vertical and the other is horizontal. \n" ); document.write( "Write an equation of the line perpindicular to the line given by 2x-3y=1 and having the same y-intercept as the line given by 3x+2y=6 \n" ); document.write( "--- \n" ); document.write( "Write both in the slope-intercept form:: \n" ); document.write( "y = (2/3)x -(1/3) \n" ); document.write( "y = -(3/2)x + 3 \n" ); document.write( "------ \n" ); document.write( "y-intercept of interest:: 3 \n" ); document.write( "--- \n" ); document.write( "slope of interest:: (2/3)k = -1, k = -3/2 \n" ); document.write( "------- \n" ); document.write( "Ans:: The lower equation is y = (-3/2)x + 3 it is \n" ); document.write( "perpendicular to y = (2/3)x-(1/3) and it intercepts \n" ); document.write( "the y-axis at 3. \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |