Question #50586

1 Answer
Feb 16, 2018

..., (-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.