Matching Tables to Graphs and 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

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

What does 'm' represent in the equation y = mx + b?

Back

In the equation y = mx + b, 'm' represents the slope of the line.

Front

What does 'b' represent in the equation y = mx + b?

Back

In the equation y = mx + b, 'b' represents the y-intercept, where the line crosses the y-axis.

Front

How do you determine if an ordered pair lies on a line represented by an equation?

Back

Substitute the x-value of the ordered pair into the equation and see if the resulting y-value matches the y-value of the ordered pair.

Front

What is the slope of a line?

Back

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

Front

What is a function?

Back

A function is a relationship where each input (x-value) has exactly one output (y-value).

Front

What does it mean for a table to represent a function?

Back

A table represents a function if each x-value corresponds to one and only one y-value.