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College Algebra Final Exam Review – Step-by-Step Guidance

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Q19. Find the distance between the points and .

Background

Topic: Distance Formula in Coordinate Geometry

This question tests your ability to use the distance formula to find the length between two points in the Cartesian plane.

Key formula:

The distance between two points and is given by:

  • = coordinates of the first point

  • = coordinates of the second point

Step-by-Step Guidance

  1. Identify the coordinates of and from the graph. Carefully read the values for and for each point.

  2. Write down the coordinates as and .

  3. Substitute these values into the distance formula:

  4. Calculate and , then square each result.

Graph showing two points and the line segment between them

Try solving on your own before revealing the answer!

Final Answer:

Using the coordinates from the graph and the distance formula, the distance between the points is approximately 10.6 units.

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