document.write( "Question 807680: A general number m varies directly as another general number n. When n=-6 1/4, m=-7 1/3. Find the value of m when n=2. Thanks so much! \n" ); document.write( "
Algebra.Com's Answer #486447 by DrBeeee(684)\"\" \"About 
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The equation for a direct variation is
\n" ); document.write( "(1) m = c*n, where c is a constant
\n" ); document.write( "It is the same as a straight line with a slope of c and a y-intercept (m-intercept here) of zero. That is, it goes through the origin as (1) does. When n=0 we have
\n" ); document.write( "(2) m = c*0 or
\n" ); document.write( "(3) m = 0
\n" ); document.write( "We need only one point on the line to find the constant c. This is
\n" ); document.write( "(4) (n.m) = (-25/4,-22/3)
\n" ); document.write( "Put these coordinants into (1) and get
\n" ); document.write( "(5) -22/3 = c*(-25/4) or
\n" ); document.write( "(6) c = (-22/3)*(-4/25) or
\n" ); document.write( "(7) c = 88/75, giving the equation
\n" ); document.write( "(8) m = 88/75*n
\n" ); document.write( "Now when n=2 we get
\n" ); document.write( "(9) m = (88/75)*2 or
\n" ); document.write( "(10) m = 176/75
\n" ); document.write( "Answer: when n=2, m=176/75 \n" ); document.write( "
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