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In the coordinate system above, the slope of line segment AB is
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08 Dec 2022, 09:45
08 Dec 2022, 09:45
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84% (01:26) correct
15% (02:33) wrong based on 19 sessions
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In the coordinate system above, the slope of line segment AB is 4/3
Quantity A |
Quantity B |
The length of line segment AB |
x |
A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the information given.
Re: In the coordinate system above, the slope of line segment AB is
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11 Dec 2022, 04:00
11 Dec 2022, 04:00
Expert Reply
OE
C Break this one into bite-sized pieces: You need x in order to find the length of AB, so find x first. If you insert the given values into the slope formula, \(\frac{y_2-y_1}{x_2-x_1}\) , you get 6-2/x-2=4/3 , so x = 5. Now you need to find the length of AB. Rather than using the distance formula, turn AB into the hypotenuse of a right triangle and find the lengths of the other sides. To make the triangle, add a new vertex at coordinate (5, 2): The length of the horizontal leg is 5 − 2 = 3, and that of the vertical leg is 6 − 2 = 4, yielding the familiar 3-4-5 triangle. The length of segment AB = 5, so the two quantities are equal.
C Break this one into bite-sized pieces: You need x in order to find the length of AB, so find x first. If you insert the given values into the slope formula, \(\frac{y_2-y_1}{x_2-x_1}\) , you get 6-2/x-2=4/3 , so x = 5. Now you need to find the length of AB. Rather than using the distance formula, turn AB into the hypotenuse of a right triangle and find the lengths of the other sides. To make the triangle, add a new vertex at coordinate (5, 2): The length of the horizontal leg is 5 − 2 = 3, and that of the vertical leg is 6 − 2 = 4, yielding the familiar 3-4-5 triangle. The length of segment AB = 5, so the two quantities are equal.
Re: In the coordinate system above, the slope of line segment AB is
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02 Sep 2024, 19:08
02 Sep 2024, 19:08
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