The following ordered pairs are found by using a graphing tool: (- 2, 2), (4, 2), (- 6, - 2), (8, - 2), (- 6, - 8), (8, - 8), (- 2, -12), (4, - 12)
What are the possible coordinates of the missing end of a line segment?
In this question we know that a line segment has a length of √58 units and the location of the end point K is K(x, y) = (1, - 5) and we need to determine the possible of the end point L on the assumption that the coordinates are integers. A possible approach is to use the Pythagorean theorem to determine the family of points that fulfill the requirements from statement:
58 = (x - 1)² + (y + 5)²
This formula resembles a circle, then we find the limits of the expression:
x = 0
58 = 1² + (y + 5)²
57 = (y + 5)²
y + 5 = ± √57
y = - 5 ± √57
- 12.549 ≤ y ≤ 2.550
y = 0
58 = (x - 1)² + 5²
33 = (x - 1)²
x - 1 = ± √33
x = 1 ± √33
- 4.745 ≤ y ≤ 6.745
Then, we find the following ordered pairs by using a graphing tool:
(- 2, 2), (4, 2), (- 6, - 2), (8, - 2), (- 6, - 8), (8, - 8), (- 2, -12), (4, - 12)
To learn more on Pythagorean theorem: https://brainly.com/question/26183488
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