Question

{(-15, 3), (-5, 1), (0, 0), (10, -2)}

Constant:
Equation:
Direct & inverse variation (identify the constant of variation,then write the direct variation equation to represent the relationship) please helppp!!

Answer 1

`k = -(1)/(5)` -- Constant

`y = -(x)/(5)` -- Equation

Explanation:

Given

`\{(-15, 3), (-5, 1), (0, 0), (10, -2)\}`

Solving (a): The constant of variation

The given parameter is of the form (x,y) and the variation constant is calculated using:

`k = (y)/(x)`

For:(-15,3), k is calculated as

`k = (y)/(x)`

`k = (3)/(-15)`

`k = -(1)/(5)`

For (-5,1)

`k = (y)/(x)`

`k = (1)/(-5)`

`k = -(1)/(5)`

The equation is calculated using the following rule:

`y = kx`

Substitute
`-(1)/(5)` for k

`y = -(1)/(5) * x`

`y = -(x)/(5)`