document.write( "Question 777596: Find an equation of the line that passes through the given point and is perpendicular to the given line. Write the equation in slope-intercept form.
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document.write( "(8, −2), 7x = 9y − 8
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Algebra.Com's Answer #474197 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! Find an equation of the line that passes through the given point and is perpendicular to the given line. Write the equation in slope-intercept form. \n" ); document.write( "(8, −2), 7x = 9y − 8 \n" ); document.write( "*** \n" ); document.write( "Equation of a line: y=mx+b, m=slope, b=y-intercept \n" ); document.write( "7x = 9y − 8 \n" ); document.write( "9y=7x+8 \n" ); document.write( "y=7x/9+8/9 \n" ); document.write( "slope of given line, m=7/9 \n" ); document.write( "slope of perpendicular line=-9/7 (negative reciprocal) \n" ); document.write( "Equation: \n" ); document.write( "y=-9x/7+b \n" ); document.write( "solve for b using given coordinates(8,-2) on the line \n" ); document.write( "-2=-9*8/7+b \n" ); document.write( "-2=-72/7+b \n" ); document.write( "b=58/7 \n" ); document.write( "Equation of perpendicular line: \n" ); document.write( "y=-9x/7+58/7 \n" ); document.write( " |