Answer :
Using the distance formula, the length of the segment connecting (−9, 3) and (−9, −2) is 5 units.
Recall:
- The length of a segment that connects two points can be calculated using the distance formula, which is given as: [tex]d = \sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}[/tex]
Given points, (−9, 3) and (−9, −2)
- Let,
[tex](-9, 3) = (x_1, y_1)\\\\(-9, -2) = (x_2, y_2)[/tex]
- Plug in the values into the formula:
[tex]d = \sqrt{(-2 - 3)^2 + (-9 -(-9))^2}\\\\d = \sqrt{5^2 + 0^2} \\\\\mathbf{d = 5}[/tex]
Therefore, using the distance formula, the length of the segment connecting (−9, 3) and (−9, −2) is 5 units.
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