Coordinates, Tables, Equations and Graphs

Front

What can you use to represent linear relationships?

Back

Graphs, tables, and equations can all be used to represent linear relationships.

Front

What is the y-intercept of a graph?

Back

The y-intercept is the point where the graph intersects the y-axis, represented as (0, y).

Front

How do you determine if an ordered pair is on a line in a graph?

Back

An ordered pair is on the line if it satisfies the equation of the line.

Front

What is the equation for a linear relationship?

Back

A linear relationship can be represented by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x.

Front

How can you find the y-intercept from an equation?

Back

Set x to 0 in the equation and solve for y.

Front

What is the significance of the point (0, b) in a linear equation?

Back

The point (0, b) represents the y-intercept of the line.

Front

How do you write an equation from a word problem involving savings?

Back

Identify the initial amount and the rate of change, then use the formula y = mx + b.

Front

What is the difference between a function and a relation?

Back

A function is a relation where each input has exactly one output.

Front

What does it mean for a graph to be linear?

Back

A linear graph is a straight line, indicating a constant rate of change.