View of /trunk/NationalProblemLibrary/Rochester/setAlgebra14Lines/srw1_10_11.pg

    1 ##DESCRIPTION
    2 ##   Algebra: Lines
    3 ##ENDDESCRIPTION
    4 
    5 ##KEYWORDS('Algebra', 'Lines')
    6 ##Tagged by up2p
    7 
    8 ##DBsubject('Algebra')
    9 ##DBchapter('Coordinates and Graphs')
   10 ##DBsection('Lines')
   11 ##Date('')
   12 ##Author('')
   13 ##Institution('Rochester')
   14 ##TitleText1('')
   15 ##EditionText1('')
   16 ##AuthorText1('')
   17 ##Section1('')
   18 ##Problem1('')
   19 
   20 DOCUMENT();        # This should be the first executable line in the problem.
   21 
   22 loadMacros(
   23 "PG.pl",
   24 "PGbasicmacros.pl",
   25 "PGchoicemacros.pl",
   26 "PGanswermacros.pl",
   27 "PGauxiliaryFunctions.pl"
   28 );
   29 
   30 TEXT(beginproblem());
   31 $showPartialCorrectAnswers = 1;
   32 
   33 $x1 = random(2,5,1);
   34 $y1 = random(1,10,1);
   35 $x2 = random(6,10,1);
   36 $y2 = random(1,10,1);
   37 while ($y1==$y2) {$y2  = random(1,10,1)}
   38 
   39 $m1 = ($y2-$y1)/($x2-$x1);
   40 
   41 TEXT(EV2(<<EOT));
   42 The equation of the line that goes through the points
   43 \( ( $x1 ,$y1 ) \) and \( ( $x2 ,$y2 ) \) can be written in the form
   44 \( y = mx+b \) where \( m \)
   45 is: \{ans_rule(15) \}
   46 $BR
   47 EOT
   48 
   49 $ans = $m1;
   50 ANS(num_cmp($ans));
   51 
   52 TEXT(EV2(<<EOT));
   53 and  where \( b \) is: \{ans_rule(15) \}
   54 $BR
   55 EOT
   56 
   57 $ans = $y1 -$m1*$x1;
   58 ANS(num_cmp($ans));
   59 
   60 ENDDOCUMENT();        # This should be the last executable line in the problem.