Coordinate geometry

Front

What is coordinate geometry?

Back

Coordinate geometry is the study of geometric figures using a coordinate system, where points are defined by their distances from two intersecting lines (axes).

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers used to locate a point on a coordinate plane, written in the form (x, y).

Front

How do you find a point that is a certain distance east of another point?

Back

To find a point that is a certain distance east, you add that distance to the x-coordinate of the original point.

Front

What is the proper domain for the function y = f(x) if x must be non-negative?

Back

The proper domain is x ≥ 0.

Front

What does the graph of an inequality represent?

Back

The graph of an inequality represents all the solutions that satisfy the inequality, often shown as a shaded region.

Front

What does it mean for a graph to pass through the origin?

Back

A graph passes through the origin if the point (0, 0) is included in the graph, indicating that the y-intercept is zero.

Front

What is a proportional relationship?

Back

A proportional relationship is one where two quantities maintain a constant ratio, and the graph passes through the origin.

Front

How do you determine if a graph represents a proportional relationship?

Back

Check if the graph passes through the origin (0, 0). If it does, it represents a proportional relationship.

Front

What is the x-axis?

Back

The x-axis is the horizontal line in a coordinate plane where the y-coordinate is zero.

Front

What is the y-axis?

Back

The y-axis is the vertical line in a coordinate plane where the x-coordinate is zero.