Front

What is the formula to calculate the slope of a linear function?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

What is the y-intercept of a linear function?

Back

The y-intercept is the point where the graph of the function crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

How do you determine the solution set for a system of inequalities?

Back

The solution set is determined by graphing each inequality and finding the region where the shaded areas overlap.

Front

What does the notation x + y < 1 represent in a graph?

Back

It represents all the points (x, y) that lie below the line x + y = 1.

Front

What is the significance of the point where two lines intersect in a system of equations?

Back

The intersection point represents the solution to the system, indicating the values of x and y that satisfy both equations.

Front

How do you express the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the range of a function?

Back

The range is the set of all possible output values (y-values) that a function can produce.

Front

What is a linear function?

Back

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

Front

How can you model a situation with a linear function?

Back

You can model a situation by identifying the relationship between two variables and expressing it in the form of a linear equation.

Front

What does the equation f(n) = -3n + 24 represent in a real-world context?

Back

This equation models the amount of pet food remaining in cups as a function of the number of meals dispensed, where each meal dispenses 3 cups.