Slope from a Graph Practice

Front

What is the definition of slope in a graph?

Back

Slope is a measure of the steepness or incline of a line, calculated as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

Front

How do you calculate the unit rate from a given scenario?

Back

To calculate the unit rate, divide the quantity of interest by the number of units. For example, if Ethan drove 75 miles using 3 gallons of gas, the unit rate is 75 miles / 3 gallons = 25 miles per gallon.

Front

What does a positive slope indicate in a graph?

Back

A positive slope indicates that as one variable increases, the other variable also increases, showing a direct relationship.

Front

What does a negative slope indicate in a graph?

Back

A negative slope indicates that as one variable increases, the other variable decreases, showing an inverse relationship.

Front

What is the significance of the slope in real-life applications?

Back

The slope in real-life applications represents rates of change, such as speed, cost per item, or productivity rates.

Front

How can you interpret the slope of a line in a graph representing speed?

Back

In a graph representing speed, the slope indicates the speed of an object; a steeper slope represents a higher speed.

Front

What is the formula for calculating slope between two points (x1, y1) and (x2, y2)?

Back

The formula for calculating slope (m) is m = (y2 - y1) / (x2 - x1).

Front

How can you determine the slope from a graph visually?

Back

To determine the slope visually, select two points on the line, count the vertical rise and horizontal run between them, and calculate the slope using the rise/run ratio.

Front

What is a unit rate, and how is it different from a regular rate?

Back

A unit rate is a rate that compares a quantity to one unit of another quantity, while a regular rate can compare quantities to any number of units.

Front

In the context of the questions, what does 'decorating cupcakes per minute' represent?

Back

'Decorating cupcakes per minute' represents the rate at which Mrs. Soto can complete her task, which can be expressed as a slope on a graph.