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 $).
Midpoint — formula?
Average of x's and y's coordinates.
Line equation — from two points?
Use point-slope or two-point formula.
Linear function — form?
$ y = mx + c $, a straight line.
Perpendicular lines — slopes?
Negative reciprocal slopes.
Slope — role?
Indicates line steepness and direction.
Parallel lines — slopes?
Equal slopes, different intercepts.
Inverse proportion graph?
Hyperbola with asymptotes at axes.
Relation vs Function — difference?
Function assigns exactly one y to each x.
Relation — key property?
Set of ordered pairs, may or may not be a function.
Line intersection — method?
Solve equations simultaneously or graphically.
Answer 8 questions on Foundations of Coordinate Geometry.
1. What does the midpoint of a line segment represent in coordinate geometry?
2. What is the standard form of a linear function?
Go over the full study guide for Foundations of Coordinate Geometry.
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