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 change in the vertical direction (rise) divided by the change in the horizontal direction (run).

Front

How do you calculate the slope from two points on a graph?

Back

Slope (m) = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Front

What does a positive slope indicate about a graph?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, showing a direct relationship.

Front

What does a negative slope indicate about a graph?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, showing an inverse relationship.

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per' something.

Front

If a pool fills at 25 gallons per minute, what is the slope of the graph representing this situation?

Back

The slope is 25, representing the rate of change in gallons per minute.

Front

If Dixie pays $6 for 4 bags of chips, what is the cost per bag?

Back

The slope is 1.5, meaning each bag of chips costs $1.50.

Front

Ethan drove 75 miles using 3 gallons of gas. What is the slope representing miles per gallon?

Back

The slope is 25, indicating Ethan drove 25 miles per gallon.

Front

Leslie paid $12 for 2 shirts. What is the cost per shirt?

Back

The slope is 6, meaning each shirt costs $6.

Front

If a scuba diver descends at 15 ft per minute, what is the slope of the graph?

Back

The slope is -15, indicating a decrease in height over time.