graphing equations

Front

What is an ordered pair?

Back

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

Front

What does the x-coordinate represent in an ordered pair?

Back

The x-coordinate represents the horizontal position of a point on a graph.

Front

What does the y-coordinate represent in an ordered pair?

Back

The y-coordinate represents the vertical position of a point on a graph.

Front

How do you find the distance between two points on a graph?

Back

Use the distance formula: Distance = √((x2 - x1)² + (y2 - y1)²).

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise/run).

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What is a graph?

Back

A graph is a visual representation of data or mathematical relationships, typically using a coordinate system.

Front

What does it mean for points to be collinear?

Back

Collinear points are points that lie on the same straight line.

Front

How do you plot a point on a graph?

Back

To plot a point, start at the origin (0,0), move along the x-axis to the x-coordinate, and then move vertically to the y-coordinate.

Front

What is the significance of the origin in a graph?

Back

The origin is the point (0,0) where the x-axis and y-axis intersect, serving as the reference point for all other points.