document.write( "Question 447396: I need help writing the slope-intercept equation for the line that passes through (-3, -15) and is perpendicular to -6x + 8y = 3. Thank you. \n" ); document.write( "
Algebra.Com's Answer #308003 by mananth(16946)![]() ![]() You can put this solution on YOUR website! (-3, -15) and is perpendicular to -6x + 8y = 3. Thank you. \n" ); document.write( "-6x+8y = 3 \n" ); document.write( "Find the slope of this line \n" ); document.write( "8y=6x-3 \n" ); document.write( "Divide by 8 \n" ); document.write( "y= 3/4x-0.38 \n" ); document.write( "Compare this equation with y=mx+b \n" ); document.write( "slope m =0.75 \n" ); document.write( "The slope of a line perpendicular to the above line will be the negative reciprocal = -1.33 \n" ); document.write( "(m1*m2=-1) m= \n" ); document.write( "-1.33 ,point( -3,-15) \n" ); document.write( "Find b by plugging the values of m & the point in \n" ); document.write( "y=mx+b \n" ); document.write( "-15=4.00 +b \n" ); document.write( "b=-19 \n" ); document.write( "m=-1.33 \n" ); document.write( "The required equation is y=-1.33x -19 \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " \n" ); document.write( " |