PreAlegra - Module 4 REVIEW - Tables, Graphs, Equations

Front

What is the general form of a linear equation that shows the relationship between independent and dependent variables?

Back

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

Front

In the equation y = x - 6, what is the value of y when x = 6?

Back

y = 0.

Front

What does it mean for a graph to be linear?

Back

A graph is linear if it forms a straight line.

Front

What is the difference between proportional and non-proportional relationships in graphs?

Back

Proportional relationships pass through the origin (0,0) and have a constant ratio, while non-proportional relationships do not.

Front

What is the slope in the equation y = 3x + 1?

Back

The slope is 3.

Front

How can you determine if a graph is proportional?

Back

A graph is proportional if it is a straight line that passes through the origin.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis.

Front

What is the function of the table in the context of linear equations?

Back

The table shows the input-output pairs (x, y) that satisfy the linear equation.

Front

If a line has a negative slope, what does that indicate about the relationship between x and y?

Back

As x increases, y decreases.

Front

What is the significance of the equation y = -3x in terms of slope and direction?

Back

The slope is -3, indicating a steep decline as x increases.