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

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 the y-coordinate divided by the change in the x-coordinate (rise/run).

Front

How do you determine if a relationship is linear?

Back

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

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases.

Front

What is the slope of the line represented by the points (1, 2) and (3, 8)?

Back

The slope is 3, calculated as (8-2)/(3-1) = 6/2 = 3.

Front

What is the slope of the line represented by the points (2, 5) and (2, 9)?

Back

The slope is undefined because the x-coordinates are the same, indicating a vertical line.

Front

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

Back

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

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

Back

The y-intercept represents the point where the line crosses the y-axis, indicating the value of y when x = 0.

Front

How can you tell if a table of values represents a linear function?

Back

A table represents a linear function if the differences between consecutive y-values divided by the differences between consecutive x-values are constant.

Front

What is the slope of a line that goes through the points (0, 0) and (4, 12)?

Back

The slope is 3, calculated as (12-0)/(4-0) = 12/4 = 3.