Review for Comparing Slope Flashcard #5

Front

What is the definition of slope in a linear function?

Back

The slope of a linear function is a measure of the steepness or incline of the line, calculated as the change in the y-coordinate divided by the change in the x-coordinate (rise over run).

Front

How do you calculate the slope from two points (x1, y1) and (x2, y2)?

Back

The slope (m) can be calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What is the slope of the function y = mx + b?

Back

The slope of the function y = mx + b is represented by the coefficient m.

Front

What does a positive slope indicate about a linear function?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, resulting in an upward trend.

Front

What does a negative slope indicate about a linear function?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, resulting in a downward trend.

Front

What is the slope of the line represented by the equation y = -4x - 9?

Back

The slope of the line is -4.

Front

How can you determine the slope from a table of values?

Back

To determine the slope from a table of values, select two points (x1, y1) and (x2, y2) from the table and use the slope formula: m = (y2 - y1) / (x2 - x1).

Front

What is the slope of Function B given the points (-2, -10), (-1, -7), (0, -4), (1, -1), (2, 2)?

Back

The slope of Function B is 2.

Front

What does it mean if two lines have the same slope?

Back

If two lines have the same slope, they are parallel and will never intersect.

Front

What is the significance of a slope of zero?

Back

A slope of zero indicates a horizontal line, meaning there is no change in the y-value as the x-value changes.