document.write( "Question 207743: find the x intercept of the straight line passing through p=(2,3) and parallel to y+4x=3 \n" ); document.write( "
Algebra.Com's Answer #157134 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! find the x intercept of the straight line passing through p=(2,3) and parallel to y+4x=3 \n" ); document.write( ". \n" ); document.write( "First, determine the equation of our new line. \n" ); document.write( "Since it is parallel to \n" ); document.write( "y+4x=3 \n" ); document.write( "it must have the same slope. Put into \"slope-intercept\" form: \n" ); document.write( "y+4x=3 \n" ); document.write( "y = -4x+3 \n" ); document.write( "Therefore, slope (m) = -4 \n" ); document.write( ". \n" ); document.write( "Using the slope and (2,3): \n" ); document.write( "y-y1 = m(x-x1) \n" ); document.write( "y-3 = -4(x-2) \n" ); document.write( "y-3 = -4x+8 \n" ); document.write( "y = -4x+11 (equation of our new line) \n" ); document.write( ". \n" ); document.write( "To find the x-intercept, set y=0 and solve for x: \n" ); document.write( "y = -4x+11 \n" ); document.write( "0 = -4x+11 \n" ); document.write( "-11 = -4x \n" ); document.write( "11/4 = x \n" ); document.write( "Therefore, the x-intercept is at (11/4, 0)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |