Points and Line Segments

In the realm of geometry, two fundamental concepts exist - points and line segments. A point is a unique position in space that doesn't have any size, while a line segment, on the other hand, represents a portion of a line which is defined by its two endpoints. The measurement of a line segment is essentially the distance between these two endpoints, expressed in units of length.

Finding a Point's Quadrant

In which quadrant is the point (-3, 4) located?

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Finding the Midpoint of a Line Segment

9. The line segment

A B

has the endpoints

A (2, - 3)

and

B (- 4, - 9)

. Point

C

partitions the line at a ratio of

2 : 1

. What are the coordinates of point

C

(- 1, - 10)

(- 2, - 7)

(4, 1)

(- 3, 0)

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Distance Formula

Find the distance

d (P_{1}, P_{2})

between the given points

P_{1}

and

P_{2}

\begin{array}{l} P_{1} = (4, 2) \\ P_{2} = (- 1, 4) \end{array}

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Finding Equations Using Slope-Intercept

Given the points (2, 3) and (4, 7) on a line, find the equation of the line in slope-intercept form (y = mx + b).

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Finding the Slope

Given two points on a plane, A(2, 3) and B(5, 7), find the slope of the line segment AB.

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Finding the y Intercept

Given the points (6, 8) and (4, 12) on a line, find the y-intercept of the line.

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Points and Line Segments

Finding a Point's Quadrant

Finding the Midpoint of a Line Segment

Distance Formula

Finding Equations Using Slope-Intercept

Finding the Slope

Finding the y Intercept

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