Graphs, Tables, & Rules

Front

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

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the independent variable represent in a function?

Back

The independent variable is the input of the function, often represented by x.

Front

What does the dependent variable represent in a function?

Back

The dependent variable is the output of the function, often represented by y.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is a table of values in relation to a function?

Back

A table of values lists pairs of input (x) and output (y) values that satisfy the function.

Front

What is the growth of a function?

Back

Growth refers to the change in the dependent variable (y) as the independent variable (x) increases.

Front

How do you identify a coordinate point on a graph?

Back

A coordinate point is identified by an ordered pair (x, y) that represents its position on the Cartesian plane.

Front

What is the purpose of a graph in mathematics?

Back

A graph visually represents the relationship between two variables, making it easier to analyze trends.

Front

What does it mean for a function to be linear?

Back

A linear function has a constant rate of change and can be represented by a straight line on a graph.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.