MIX 1

Front

What is the formula to calculate the slope of a line given two points (x1, y1) and (x2, y2)?

Back

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

Front

What does the slope of a line represent in a graph?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What is the range of a function?

Back

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

Front

How do you determine the range of a linear function from its graph?

Back

The range can be determined by identifying the minimum and maximum y-values on the graph.

Front

What is a linear equation in slope-intercept form?

Back

A linear equation in slope-intercept form is written as y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the y-intercept of a line represent?

Back

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

Front

How can you represent a situation with a linear equation?

Back

You can represent a situation with a linear equation by identifying the variables, their relationships, and writing an equation that models that relationship.

Front

What is the significance of the rate of change in a linear function?

Back

The rate of change indicates how much the dependent variable (y) changes for a unit change in the independent variable (x).

Front

What is the difference between the domain and range of a function?

Back

The domain is the set of all possible input values (x-values), while the range is the set of all possible output values (y-values).

Front

How do you find the rate of change from a table of values?

Back

To find the rate of change, calculate the difference in y-values divided by the difference in x-values for two points.