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

Back

The cost per bag is $6 / 4 = $1.50 per bag.

Front

If Jose rode 9 miles in 30 minutes, what is his speed in miles per hour?

Back

Speed = Distance / Time = 9 miles / 0.5 hours = 18 miles per hour.

Front

What is the growth rate of Reed's tomato plant if it grew 15 inches in 3 months?

Back

Growth rate = 15 inches / 3 months = 5 inches per month.

Front

If Hayden makes $10 from every 2 glasses of lemonade, what is his earnings per glass?

Back

Earnings per glass = $10 / 2 glasses = $5 per glass.

Front

What does a slope of 25 gallons per minute represent in a graph?

Back

It represents a constant rate of water filling a pool, indicating that for every minute, 25 gallons of water are added.