Dividing line segments according to ratio
Khan Academy・2 minutes read
Point B is located at coordinates two, negative two along line segment AC, found by moving three units in the X direction and six units downwards in the Y direction from point A towards point C. This was confirmed through graphing and algebraic calculations.
Insights
- Point B's coordinates are 2, -2, found by moving three-fifths of the distance from A to C in both X and Y directions, which equates to moving three units in the X direction and six units downwards in the Y direction.
- The ratio of AB to AC being three to five dictates the position of B on the line segment AC, showcasing the importance of understanding proportional relationships in determining spatial coordinates accurately.
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Recent questions
How do you find the coordinates of point B?
Move three fifths of the distance from A to C in both X and Y directions.
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Summary
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Finding Coordinates of Point B on Line Segment
- Point A is located at coordinates negative one, four, while point C is at coordinates four, negative six. The task is to find the coordinates of point B on line segment AC, with the ratio of AB to AC being three to five.
- To determine the coordinates of point B, one must move three fifths of the distance from A to C in both the X and Y directions. In the X direction, this means moving three units, and in the Y direction, moving six units downwards.
- The coordinates of point B are calculated by moving three fifths of the total distance from A to C in both the X and Y directions. This results in point B having coordinates two, negative two, as confirmed through graphing and algebraic calculations.
