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Exit The slope between points A and B is . The slope between points B and C is . Antoine says all three of these points are on the same line. Which statement is true? A. Antoine is correct because both slopes are equal to . B. Antoine is incorrect because the slope of a line is always greater than 1. C. Antoine is incorrect because the slope is the same between any two points on a line. D. Antoine is correct because the slope is not the same between any two points on a line.

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Complete Question:

The slope between A and B is ⅗.The slope between points B and C is 6/10. Antoine says all three of these points are on the same line. What statement is true?

A) Antoine is correct because both slopes are equal to ⅗.

B) Antoine is incorrect because the slope of a line is always greater than 1.

C) Antoine is incorrect because the slope is the same between any two points on a line.

D) Antoine is correct because the slope is not the same between any two points on a line

Answer:

A) Antoine is correct because both slopes are equal to ⅗.

Step-by-step explanation:

We are given that:

Slope between A and B = ⅗

Slope between B and C = ⁶/10

If we reduce the fraction, ⁶/10 further, we would have: (2*3)/(2*5) = ³/5.

Therefore, slope between A and B, and slope between B and C would be the same = ⅗.

Since the slope are the same, it implies that all three points are in the same line.

Therefore, Antoine is correct.

Answer:

Your answer is A

Step-by-step explanation:

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