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Answer: Choice D</h3>
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Explanation:
We can rule out choice A because the given equation has a negative slope, but the graph in choice A shows a line sloping uphill as you read from left to right (the slope here is positive).
We can rule out choice C because x = 0 should map to y = -4, but instead it maps to y = 4.
Let's see what happens when we plug in x = -2
y = (-3/2)*x - 4
y = (-3/2)*(-2) - 4
y = 3 - 4
y = -1
We can see that x = -2 maps to y = -1. The table in choice B shows x = -2 and y = 1 pairing up, which contradicts what we just found after plugging in x = -2. Therefore, we can rule out choice B.
The only thing left is choice D, which is the final answer. To graph a line like this, all you need are two points. Each point is found by plugging in an x value to get a corresponding paired y value. One point we know is on this line is (0,-4) which is the y intercept. Another point is (-2,-1) which we found earlier above.
