document.write( "Question 227469: What is the equation of the line in slope-intercept form that passes through (12,0) and is parallel to y=-1/2x-3? \n" ); document.write( "
| Algebra.Com's Answer #169019 by nerdybill(7384)     You can put this solution on YOUR website! What is the equation of the line in slope-intercept form that passes through (12,0) and is parallel to y=-1/2x-3? \n" ); document.write( ". \n" ); document.write( "For our line to be \"parallel\" to \n" ); document.write( "y=-1/2x-3 \n" ); document.write( "it MUST have the same slope. \n" ); document.write( ". \n" ); document.write( "Because \n" ); document.write( "y=-1/2x-3 \n" ); document.write( "is in \"slope-intercept\" form: \n" ); document.write( "y = mx + b \n" ); document.write( "where m is the slope \n" ); document.write( "we see that our new line MUST have a slope of -1/2 \n" ); document.write( ". \n" ); document.write( "So, now we know our line must have \n" ); document.write( "slope (m) = -1/2 \n" ); document.write( "and passes thru (12,0) \n" ); document.write( ". \n" ); document.write( "Plug the above into the \"point-slope\" form: \n" ); document.write( "y - y1 = m(x - x1) \n" ); document.write( "y - 0 = (-1/2)(x - 12) \n" ); document.write( "y - 0 = (-1/2)x + 6 \n" ); document.write( "y = (-1/2)x + 6 (this is what they're looking for)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |