TEKS 8.4B

Front

What is the slope in a graph?

Back

The slope is a measure of the steepness or incline of a line, calculated as the change in the vertical direction (rise) divided by the change in the horizontal direction (run).

Front

How do you calculate the cost per item?

Back

To calculate the cost per item, divide the total cost by the number of items. For example, if 6 pencils cost 30 cents, the cost per pencil is 30 cents ÷ 6 = 5 cents.

Front

What does a slope of 2 represent in a real-world context?

Back

A slope of 2 means that for every 1 unit increase in the horizontal direction, there is a 2 unit increase in the vertical direction. For example, if a person earns $2 for every chore completed, the slope represents their earnings per chore.

Front

What is a linear relationship?

Back

A linear relationship is a relationship between two variables that can be represented by a straight line on a graph. It means that as one variable changes, the other variable changes at a constant rate.

Front

How do you interpret the slope of a graph representing cost?

Back

The slope of a cost graph indicates the rate at which cost increases per unit. A steeper slope means a higher cost per unit.

Front

What is the formula for calculating slope?

Back

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

Front

What does it mean if a graph has a slope of 0?

Back

A slope of 0 indicates that there is no change in the vertical direction as the horizontal direction changes, meaning the line is horizontal and the value remains constant.

Front

How can you find the average rate of change from a graph?

Back

The average rate of change can be found by selecting two points on the graph, calculating the change in the y-values and the change in the x-values, and then dividing the change in y by the change in x.

Front

What is the significance of the y-intercept in a linear graph?

Back

The y-intercept is the point where the line crosses the y-axis. It represents the value of y when x is 0.

Front

How do you determine the cost of multiple items from a graph?

Back

To determine the cost of multiple items from a graph, find the corresponding y-value for the given number of items on the x-axis.