TEKS 8.4B

Front

What is the definition of slope in a graph?

Back

Slope is a measure of the steepness 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 unit rate?

Back

The unit rate is calculated by dividing the total quantity by the number of units. For example, if 600 customers are served in 10 hours, the unit rate is 600 ÷ 10 = 60 customers per hour.

Front

What does a graph with a constant slope represent?

Back

A graph with a constant slope represents a linear relationship where the rate of change is consistent.

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, showing how many times one value contains or is contained within the other.

Front

How do you express a ratio in simplest form?

Back

To express a ratio in simplest form, divide both terms of the ratio by their greatest common divisor.

Front

What is the relationship between the slope of a line and the unit rate?

Back

The slope of a line in a graph represents the unit rate of change between the two variables being compared.

Front

How can you represent a relationship with a graph?

Back

A relationship can be represented with a graph by plotting points that correspond to the values of the two variables and connecting them to show the trend.

Front

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

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of the dependent variable when the independent variable is zero.

Front

What does it mean if a graph is increasing?

Back

If a graph is increasing, it means that as the independent variable increases, the dependent variable also increases.

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed, typically in the form y = mx + b, where m is the slope and b is the y-intercept.