document.write( "Question 570750: 1. Find the slope-intercept equation of the line passing through (-2, -6) which is also \r
\n" );
document.write( "\n" );
document.write( "a. parallel to 4x-16y=2
\n" );
document.write( "b. perpendicular to 4x-16y=2 \n" );
document.write( "
Algebra.Com's Answer #367753 by mananth(16946) You can put this solution on YOUR website! 1. 4x-16y=2\r \n" ); document.write( "\n" ); document.write( "16y=4x-2\r \n" ); document.write( "\n" ); document.write( "/16 \n" ); document.write( "y=(1/4)x-(1/8)\r \n" ); document.write( "\n" ); document.write( "slope of this line is (1/4)\r \n" ); document.write( "\n" ); document.write( "The parallel line will have same slope = 1/4 \n" ); document.write( "point = (-2,-6)\r \n" ); document.write( "\n" ); document.write( "Find b , plug point and slope in the equation y = mx+b\r \n" ); document.write( "\n" ); document.write( "-6=(1/4)(-2)+b \n" ); document.write( "-6=(-1/2)+b \n" ); document.write( "-6+1/2=b \n" ); document.write( "b=-5 1/2\r \n" ); document.write( "\n" ); document.write( "b= -11/2\r \n" ); document.write( "\n" ); document.write( "Equation ; y= (1/4)x-11/2\r \n" ); document.write( "\n" ); document.write( "---\r \n" ); document.write( "\n" ); document.write( "4 x -16 y = 2 \n" ); document.write( "Find the slope of this line \n" ); document.write( " \n" ); document.write( "-16 y = -4 x + 2 \n" ); document.write( "Divide by -16 \n" ); document.write( " y = 0.250 x + -0.13 \n" ); document.write( "Compare this equation with y=mx+b \n" ); document.write( "slope m = 1/4 \n" ); document.write( " \n" ); document.write( "The slope of a line perpendicular to the above line will be the negative reciprocal -4 \n" ); document.write( "m1*m2=-1 \n" ); document.write( "The slope of the required line will be -4 \n" ); document.write( "m= -4 ,point ( -2 , -6 ) \n" ); document.write( "Find b by plugging the values of m & the point in \n" ); document.write( "y=mx+b \n" ); document.write( "-6 = 8 + b \n" ); document.write( "b= -14 \n" ); document.write( "m= -4 \n" ); document.write( "The required equation is y =-4x-14 \n" ); document.write( "m.ananth@hotmail.ca \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |