Answer:
B. (4, -14)
C. (-4, 10)
Step-by-step explanation:
You want the ordered pairs that satisfy the equation y = -3x -2.
There are a couple of ways to work this. One is to graph the equation and the points to see which points fall on the line.
Another is to evaluate the equation at each of the points. This is done in the attachment, where we compute ...
-3x -2 -y
and compare to 0. This shows us that choices B and C apply.
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Additional comment
4 ≠ -3(-1) -2 = 1 . . . . . A doesn't work
-14 = -3(4) -2 . . . . . . . B is true
10 = -3(-4) -2 . . . . . . . C is true
21 ≠ -3(-7) -2 = 19 . . . D doesn't work
-21 ≠ -3(6) -2 = -20 . . . E doesn't work