document.write( "Question 1092082: Write a slope-intercept equation for a line passing through the point left parenthesis 5 comma negative 4 right parenthesis(5,−4) that is parallel to the line 5 x plus 6 y equals 75x+6y=7. Then write a second equation for a line passing through the point left parenthesis 5 comma negative 4 right parenthesis(5,−4) that is perpendicular to the line 5 x plus 6 y equals 75x+6y=7. \n" ); document.write( "
Algebra.Com's Answer #706579 by Boreal(15235) You can put this solution on YOUR website! 5x+6y=7 \n" ); document.write( "6y=-5x+7 \n" ); document.write( "y=-(5/6)x+(7/6); the slope is -5/6 \n" ); document.write( "now use point slope formula y-y1=m(x-x1), m slope, (x1, y1) point \n" ); document.write( "y+4=(-5/6)(x-5) \n" ); document.write( "y+4=(-5x/6)+(25/6) \n" ); document.write( "y=(-5x/6)+(1/6) \n" ); document.write( "===== \n" ); document.write( "The perpendicular line has a negative reciprocal slope or 6/5. \n" ); document.write( "y+4=(6/5)(x-5) \n" ); document.write( "y+4=(6x/5)-6 \n" ); document.write( "y=(6x/5)-10 \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |