Answer: C. (-2, -1)
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Step-by-step explanation:
If we tried the x coordinate of choice A, then,
y = -3x-7
y = -3*2-7
y = -6-7
y = -13
This shows that the point (2,-13) is on the line and not (2,-1). This rules out choice A, and also choice E.
Let's try x = -2
y = -3x-7
y = -3*(-2)-7
y = 6-7
y = -1
This shows that (-2,-1) is a point on the line, and it points us to choice C being the final answer. This rules out choice B.
If we tried x = 1, then,
y = -3x-7
y = -3*1-7
y = -3-7
y = -10
Which shows that (1,-10) is a point on this line, which rules out choice D.
The visual summary is shown below as a graph. Only point C is on the red line.