Unit 4 Test Review H 2024-2025

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 over run).

Front

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

Back

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

Front

What does it mean for a function to be linear?

Back

A function is linear if it can be represented by a straight line on a graph, meaning it has a constant slope and can be expressed in the form y = mx + b.

Front

What is a nonlinear function?

Back

A nonlinear function is one that does not form a straight line when graphed, meaning its slope changes at different points.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, indicating that there is no vertical change as you move along the line.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined because the change in x is 0, leading to division by zero in the slope formula.

Front

If m = -4, what does this indicate about the line?

Back

A slope of m = -4 indicates that for every 1 unit increase in x, the y value decreases by 4 units, showing a steep downward line.

Front

What is the equation of a line with a slope of 0?

Back

The equation of a line with a slope of 0 is in the form y = b, where b is a constant. For example, y = -5 is a horizontal line.

Front

How do you determine if a table of values represents a linear function?

Back

To determine if a table represents a linear function, check if the differences between consecutive y-values divided by the differences in x-values are constant.

Front

What is the significance of the slope in real-world applications?

Back

The slope can represent rates of change, such as speed, cost per item, or growth rates, making it essential for understanding relationships in various contexts.