Question

A linear relation is modeled by the equation y/x = -3.

I. What is the constant of proportionality for this direct variation? II. The following table models this relation. Complete the table using the constant of proportionality.

Answer 1

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The given equation is :

• 
  `(y)/(x) = - 3`

now, here

• 
  `y = - 3x`

1. constant of proportionality for this direct variation is :

• 
  `- 3`

2. for the given table :

• x = 0 and y = 0

• x = 1 and y = -3

• x = 2 and y = -6

• x = 3 and y = -9

3. the given equation in slope intercept form will be :

• 
  `y = - 3x + 0`

where, slope (m) = -3 and y - intercept (b) = 0

4. graph is attached in attachment ~