Module 2 Topic 1

Front

What is the x-intercept of a graph?

Back

The x-intercept is the point where the graph intersects the x-axis, represented as (x, 0).

Front

How do you calculate the average rate of change between two points?

Back

The average rate of change is calculated using the formula: (y2 - y1) / (x2 - x1).

Front

What is the formula for slope?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What does a slope of 7/5 indicate about a line?

Back

A slope of 7/5 indicates that for every 5 units the line moves horizontally, it moves 7 units vertically.

Front

What are first differences in a table of values?

Back

First differences are the differences between consecutive y-values in a table, used to determine if a relationship is linear.

Front

How can you determine if a relationship is linear or non-linear?

Back

A relationship is linear if the first differences are constant; it is non-linear if the first differences vary.

Front

What does a constant average rate of change indicate about a function?

Back

A constant average rate of change indicates that the function is linear.

Front

What is the significance of the slope in a real-world context?

Back

The slope represents the rate of change, which can indicate speed, growth rate, or other relationships in real-world scenarios.

Front

How do you find the slope from a graph?

Back

To find the slope from a graph, select two points on the line, calculate the rise (change in y) and run (change in x), and use the slope formula.

Front

What is the relationship between the slope and the steepness of a line?

Back

The greater the absolute value of the slope, the steeper the line; a slope of 0 indicates a horizontal line.