Interpreting Slope and Intercepts from Graphs

Jared measured the total height of the water in a bucket at different times during a rainfall. He displays his data using the graph shown. Select ALL the conclusions that Jared can correctly make using the graph.

• The height of the water in the bucket increases 1/2 inch every minute.

• The height of the water in the bucket increases at a rate of 3 inches per hour.

• In the first 20 minutes, the height of the water increases by 2 inches.

• It takes 60 minutes for the height of the water to increase by 4 inches.

• There is already 1 inch of water in the bucket when Jared places it outside.

Edward drove 80 miles from his home to London.

He stopped and visited his friend Nicola on the way. Here is the distance-time graph for the journey.

How far was Edward from home when he visited Nicola?

• 30 miles

• 40 miles

• 10 miles

• 45 miles

Edward drove 80 miles from his home to London.

He stopped and visited his friend Nicola on the way.

Here is the distance-time graph for the journey.

How long did Edward stop for?

• 2 hours

• 1 hour

• 1.2 hours

• 1.5 hours

Anne cycles from Bristol to Salisbury.

The diagram shows the distance-time graph of her journey.

How far from Bristol is Anne at 8:00?

• 15 miles

• 20 miles

• 10 miles

• 40 miles

Find the slope

• -3/4

• 4/3

• 3/4

• -4/3

How do you calculate slope using a graph?

• rise over run

• run over rise

• look at the y intercept

• look at the x intercept

The graph shows Ashley riding her bike to Maria's house. 
What was occurring from point B to point C?

• She was increasing her speed.

• She stopped for 4 minutes

• She was decreasing in speed

Which graph has a y-intercept of -3?

• 
• 
• 
• 

What is the y-intercept?

• y = 7

• y = 3

• y = 1

• x = 7

The graph represents the height of a burning candle.  What is the meaning of the y-intercept?

• the time it takes to burn the entire candle

• the rate at which the candle is losing height

• the change in the height of the candle each hour

• the original height of the candle