Question 807680
The equation for a direct variation is
(1) m = c*n, where c is a constant
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
(2) m = c*0 or
(3) m = 0
We need only one point on the line to find the constant c. This is
(4) (n.m) = (-25/4,-22/3)
Put these coordinants into (1) and get
(5) -22/3 = c*(-25/4) or
(6) c = (-22/3)*(-4/25) or
(7) c = 88/75, giving the equation
(8) m = 88/75*n
Now when n=2 we get
(9) m = (88/75)*2 or
(10) m = 176/75
Answer: when n=2, m=176/75