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Answer: Choice D) -6 < -5</h3>
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Explanation:
Let's go through the answer choices
- A) This is false because -2 is actually larger than -5. Make a number line and you'll see that -2 is to the right of -5. Numbers on the right are larger than numbers on the left.
- B) This is also false. The value 0 is smaller than 2. A number line might help show this.
- C) Also false. It should be 4 > -4. Any positive number is always larger than any negative number.
- D) This is true. On a number line, -6 is to the left of -5, so -6 is smaller than -5. This makes -6 < -5 a true statement.
His score was 40 each question was worth 5 points
The correct answer is C) 1/3 and (0, 1)
The y-intercept part is somewhat simple. In order for it to be a y-intercept, the x value of the ordered pair must be 0. That is only true in B and C, therefore they are the only possible answers.
To find the slope, we must choose two points on the line and use the slope formula. We can start by using the y-intercept (0, 1) and also (3, 2). Now we use the slope formula.
m = (y2 - y1)/(x2 - x1)
In this equation m is equal to slope, the first point is (x1, y1) and the second point is (x2, y2)
m = (y2 - y1)/(x2 - x1)
m = (2 - 1)/(3 - 0)
m = 1/3
Now knowing the slope, you can match this with answer C.
