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Distance, Midpoint, and Slope of Two Points
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Distance, Midpoint, and Slope of Two Points

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Questions and Answers

What is the equation for finding the midpoint of two points on a coordinate plane?

  • $\frac{(x_2 - x_1)}{2}, \frac{(y_1 + y_2)}{2}$
  • $\frac{(x_2 - x_1)}{2}, \frac{(y_2 - y_1)}{2}$
  • $\frac{(x_1 + x_2)}{2}, \frac{(y_2 - y_1)}{2}$
  • $\frac{(x_1 + x_2)}{2}, \frac{(y_1 + y_2)}{2}$ (correct)
  • What does the slope between two points (x1, y1) and (x2, y2) represent?

  • The rate of change between the two points (correct)
  • The horizontal change between the two points
  • The vertical change between the two points
  • The distance between the two points
  • What does the distance formula $\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$ calculate between two points on a coordinate plane?

  • The perpendicular distance between the two points
  • The horizontal distance between the two points
  • The vertical distance between the two points
  • The shortest distance between the two points (correct)
  • Study Notes

    Midpoint of Two Points

    • The midpoint formula is ((x1 + x2)/2, (y1 + y2)/2), where (x1, y1) and (x2, y2) are the two points.

    Slope Between Two Points

    • The slope formula is (y2 - y1)/(x2 - x1), where (x1, y1) and (x2, y2) are the two points.
    • The slope represents the ratio of vertical change to horizontal change between two points.

    Distance Formula

    • The distance formula is $\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$, where (x1, y1) and (x2, y2) are the two points.
    • The distance formula calculates the distance between two points on a coordinate plane.

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    Description

    Test your knowledge of finding the midpoint, slope, and distance between two points on a coordinate plane with this quiz. Questions cover the equations for finding the midpoint, understanding the representation of slope, and calculating the distance between two points using the distance formula.

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