Question

Question #50586

Answer 1

..., (-6, -1), (-3, -2), (0, -3), (3, -4), (6, -5) ...

Explanation:

To find ordered pairs, substitute values for x into the equation and then solve for y. Each value of x and its associated value of y forms an ordered pair that "satisfies" the equation.

For this equation, if every x value you choose is a multiple of 3, then the values for y will be integers and not fractions.
For example, if we choose to substitute x = 6 into the equation, then
`y=-1/3x-3` `color(white)(aaaa)` Let x = 6.

`y=-1/3(6)-3`

`y=((-1)(6))/3-3`

`y=-6/3-3`

`y=-2-3`

`y=-5`

From this result, we learn that when x = 6 then y = -5, so one ordered pair is (6, -5). Other ordered pairs can be found in a similar manner.