Ray Pena
08/28/2023 · Elementary School
Given points A(1, 2) and B(4, 6), what is the length of line segment AB?
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
To find the length of the line segment AB between the points A(1, 2) and B(4, 6), we can use the distance formula:
\[
d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
\]
Here, \( (x_1, y_1) = (1, 2) \) and \( (x_2, y_2) = (4, 6) \).
Substituting the coordinates into the formula:
\[
d = \sqrt{(4 - 1)^2 + (6 - 2)^2}
\]
\[
d = \sqrt{(3)^2 + (4)^2}
\]
\[
d = \sqrt{9 + 16}
\]
\[
d = \sqrt{25}
\]
\[
d = 5
\]
Thus, the length of line segment AB is \( 5 \) units.
Quick Answer
The length of line segment AB is \( 5 \) units.
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