document.write( "Question 819305: Find the distance between the 2 given points P(3,b+1), Q(3, b-1)Please dont give me the square root formula because i havent learnt it. Grade 8 mathS Pls give answer and explain Thx  \n" ); document.write( "
Algebra.Com's Answer #493020 by Edwin McCravy(20059)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "You don't need a square root formula:\r\n" );
document.write( "\r\n" );
document.write( "P(3,b+1) and Q(3, b-1) both have the x-coordinate 3 so they are on\r\n" );
document.write( "the vertical line that passes through x=3 on the x-axis:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "To get the idea, first make up a number for b to represent. \r\n" );
document.write( "Say b=5\r\n" );
document.write( "\r\n" );
document.write( "Then  P(3,b+1), Q(3, b-1)\r\n" );
document.write( "\r\n" );
document.write( "becomes\r\n" );
document.write( "\r\n" );
document.write( " P(3,5+1), Q(3, 5-1)\r\n" );
document.write( "\r\n" );
document.write( "or \r\n" );
document.write( "\r\n" );
document.write( " P(3,6), Q(3,4)\r\n" );
document.write( "\r\n" );
document.write( "Now plot those two points:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "They are two units apart because a line segment drawn between them\r\n" );
document.write( "is 2 units long, and because if you subtract their y-coordinates, you get\r\n" );
document.write( "6-4=2\r\n" );
document.write( "\r\n" );
document.write( "Now choose a different number for b to represent, say b = 1.\r\n" );
document.write( "\r\n" );
document.write( "Then  P(3,b+1), Q(3, b-1)\r\n" );
document.write( "\r\n" );
document.write( "becomes\r\n" );
document.write( "\r\n" );
document.write( " P(3,2+1), Q(3, 2-1)\r\n" );
document.write( "\r\n" );
document.write( "or \r\n" );
document.write( "\r\n" );
document.write( " P(3,3), Q(3,1)\r\n" );
document.write( "\r\n" );
document.write( "Now plot those two points:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "They are two units apart because a line segment drawn between them\r\n" );
document.write( "is 2 units long, and because if you subtract their y-coordinates, you get\r\n" );
document.write( "3-1=2\r\n" );
document.write( "\r\n" );
document.write( "Pick other values for b, and you'll always find that \r\n" );
document.write( "\r\n" );
document.write( " P(3,b+1), Q(3, b-1) are always 2 units apart.\r\n" );
document.write( "\r\n" );
document.write( "That's because their x-coordinate is always 3, so  P(3,b+1) is \r\n" );
document.write( "always a point which is two units directly above Q(3, b-1) on that\r\n" );
document.write( "same vertical line through 3 on the x axis and when you subtract \r\n" );
document.write( "their y-coordinates you always get:\r\n" );
document.write( "\r\n" );
document.write( "(b+1)-(b-1) = b+1-b+1 = b-b+1+1 = 0+2 = 2\r\n" );
document.write( "\r\n" );
document.write( "And therefore the distance between them will be 2 units no matter \r\n" );
document.write( "what number you choose for b to represent.  Choosing b to represent \r\n" );
document.write( "different numbers will just cause those two points to \"slide\" up or \r\n" );
document.write( "down that green vertical line, but they will always be 2 units apart.\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );