Distance between two points: The length of the straight line segment connecting two points and .
Formula:
Midpoint of a line segment: The point exactly halfway between two points and .
Formula:
Coordinate plane: A two-dimensional surface with an x-axis (horizontal) and y-axis (vertical), used to plot points, lines, and shapes.
Line segment: The part of a line bounded by two endpoints.
Distance formula derivation: Based on the Pythagorean theorem, used to find the straight-line distance between two points in the coordinate plane.
1. What does the midpoint of a line segment represent in coordinate geometry?
2. What is the standard form of a linear function?
3. What is the primary purpose of determining the line equation in coordinate geometry?
Circle equation — form?
$(x-h)^2 + (y-k)^2 = r^2$.
Hyperbola — graph of?
Inverse proportion function, $ y= rac{k}{x} $.
Vertical line test — purpose?
Checks if a graph is a function.
Standard circle form — features?
Center $(h,k)$ and radius $r$.
Distance formula — definition?
Square root of sum of squared coordinate differences.
Inverse proportion — relationship?
Product of variables is constant ($ xy=k $).
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