document.write( "Question 69306: Line AB has a slope of -6 and an x-intercept of 6. The y-value of point A is twice its x-value. Find the y-value of point A. \n" ); document.write( "
Algebra.Com's Answer #49460 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Line AB has a slope of -6 and an x-intercept of 6. The y-value of point A is twice its x-value. Find the y-value of point A. \n" ); document.write( ": \n" ); document.write( "We can use the slope equation (y2 - y1)/(x2 - x1) = m \n" ); document.write( ": \n" ); document.write( "Let the x intercept be x1, y1: (6, 0) \n" ); document.write( "let x2 = x; y2 = 2x \n" ); document.write( "We know m = -6 \n" ); document.write( "Find x: \n" ); document.write( "; \n" ); document.write( "(2x - 0)/(x - 6) = -6 \n" ); document.write( ": \n" ); document.write( "2x = -6(x - 6) \n" ); document.write( ": \n" ); document.write( "2x = -6x + 36 \n" ); document.write( ": \n" ); document.write( "2x + 6x = 36 \n" ); document.write( ": \n" ); document.write( "8x = 36 \n" ); document.write( ": \n" ); document.write( "x = 36/8 \n" ); document.write( ": \n" ); document.write( "x = 4.5 \n" ); document.write( ": \n" ); document.write( "y = 2x therefore y = 9 at point A \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |