Question

3. For the equation-4y = &r, what is the constant of variation? (1 point)
ООО
02

Answer 1

3).

`- 4y = 8x \\ (y)/(x) = (8)/( - 4) \\ (y)/(x) = - 2 \\ y = - 2x \\ hence \: constant \: is \: - 2`

4).

`y \alpha x \\ y = kx \\ where \: k \: is \: the \: constant \: of \: proportionality \\ when \: y = 24 \: and \: x = 8 \\ substitute \: in \: y = kx \\ 24 = 8k \\ k = (24)/(8) \\ k = 3 \\ value \: of \: constant = 3`

If it was by 10, k = 3 by 10

k = 30

5).

`general \: equation \: of \: line \\ y = mx + c \\ but \: m = (2)/(3) \: and \: c = 9 \\ substitute \: for \: m \: and \: c \: in \: y = mx + c \\ y = (2)/(3) x + 9 \\ alternatively \\ 3y = 2x + 27`