Podcast
Questions and Answers
What is the equation for finding the midpoint of two points on a coordinate plane?
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?
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?
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)
Flashcards
Midpoint Equation
Midpoint Equation
The midpoint equation calculates the coordinates of the middle point between two given points on a coordinate plane.
Slope Meaning
Slope Meaning
The slope between two points represents the rate of change.
Distance Formula
Distance Formula
The distance formula calculates the straight-line distance between two points on a coordinate plane.
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.
