document.write( "Question 426982: Write the slope-intercept equation for the line that passes through (-7, 6) and is perpendicular to -7x + 9y = -2 Please show all of your work. \n" ); document.write( "
Algebra.Com's Answer #296963 by mananth(16946)![]() ![]() You can put this solution on YOUR website! -7 x + 9 y = -2 \n" ); document.write( "Find the slope of this line \n" ); document.write( " \n" ); document.write( "9 y = 7 x + 2 \n" ); document.write( "Divide by 9 \n" ); document.write( " y = 7/9 x 0.22 \n" ); document.write( "Compare this equation with y=mx+b \n" ); document.write( "slope m = 0.78 \n" ); document.write( " \n" ); document.write( "The slope of a line perpendicular to the above line will be the negative reciprocal \n" ); document.write( "m1*m2=-1 \n" ); document.write( "The slope of the required line will be -1.29 \n" ); document.write( "m= -1.29 ,point (-7,6) \n" ); document.write( "Find b by plugging the values of m & the point in \n" ); document.write( "y=mx+b \n" ); document.write( "6=9+b \n" ); document.write( "b=-3 \n" ); document.write( "m=-1.29 \n" ); document.write( "The required equation is y=-1.29 x-3 \n" ); document.write( " \n" ); document.write( " |