A1 Lesson #32: Linear from the Table and Equation; Slope

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line. It can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does it mean for a relationship to be linear?

Back

A relationship is linear if it can be represented by a straight line on a graph, indicating a constant rate of change.

Front

How do you determine if a set of points is linear?

Back

To determine if a set of points is linear, check if the slope between any two points is constant.

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 formula for calculating slope?

Back

The formula for calculating slope (m) is m = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate?

Back

A positive slope indicates that as x increases, y also increases, showing a direct relationship.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as x increases, y decreases, showing an inverse relationship.

Front

What is the slope of the line represented by the equation y = -2x + 3?

Back

The slope of the line is -2.

Front

What is the y-intercept in the equation y = 3x + 4?

Back

The y-intercept is 4, which is the point where the line crosses the y-axis.

Front

How can you identify a linear equation from a table of values?

Back

A linear equation can be identified from a table of values if the differences between consecutive y-values divided by the differences between consecutive x-values are constant.