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High School Math : How to find the endpoints of a line segment

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Example Question #11 : Midpoint And Distance Formulas

What is the length of a line with endpoints (0,3) and (5,15) ?

Possible Answers:

$\frac{5}{12}$

Correct answer:

Explanation:

The formula for the length of a line is very similiar to the pythagorean theorem:

(x_2-x_1)^2+(y_2-y_1)^2=l^2

Plug in our given numbers to solve:

(x_2-x_1)^2+(y_2-y_1)^2=l^2

(5-0)^2+(15-3)^2=l^2

5^2+12^2=l^2

25+144=l^2

169=l^2

$\sqrt{169}=\sqrt{l^2}$

13=l

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Example Question #12 : Coordinate Geometry

The points A, B, and C reside on a line segment. B is the midpoint of AC. If line AB measures 6 units in length, what is the length of line AC?

Possible Answers:

Correct answer:

Explanation:

If B is the midpoint of AC, then AC is twice as long as AB. We are told that AB=6.

A------B------C

The diagram shows six units between points A and B, with B as the midpoint of segment AC. Therefore segment BC is also six units long, so line AC is twelve units long.

$\small (2)(6)=12$

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High School Math : How to find the endpoints of a line segment

Study concepts, example questions & explanations for High School Math

All High School Math Resources

Example Questions

Example Question #11 : Midpoint And Distance Formulas

Example Question #12 : Coordinate Geometry

All High School Math Resources

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