Question

Imagine that Sparky the dog is playing in the yard. Sparky is not allowed to play on the sprinkler line, since he'll chew it to pieces! Bad dog! The sprinkler line is described by the equation:
x − y = −4
Pick all the points below at which Sparky CAN play, without being on top of the sprinkler line.



(-2, 6)

(-5,-1)

(0,3)

(3,7)

(-3,3)

Answer 1

is it based on plugging them in the equation, or visually plotting them?

Answer 2

@Yovovel

I think this --> is it based on plugging them in the equation
is the correct approach. I cranked out two points where Sparky cannot play.
What did you get?

Answer 3

(-5,-1) and (3,7)

Answer 4

>Pick all the points below at which Sparky CAN play.
y = x + 4 is where the water line is.

Sparky cannot play at (-5,-1); (3,7) --> Got the same as you did

Sparky CAN play at (0,3) and (-3,3) and (-2,6)

@Yovovel Check my work.

Answer 5

then does it have to equal 0?

Answer 6

@Yovovel

I don't know what this means. --> "then does it have to equal 0?"
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Pick all the points below at which Sparky CAN play:

We are choosing the points that do *not* make the equation of the line true.

Sparky can play on those points.

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This is what I got --> Sparky CAN play at (0,3) and (-3,3) and (-2,6)
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You cranked out the points where Sparky cannot play. The points you selected make the equation of the sprinkler line true. Sparky cannot play there.