Interpreting Slope and Y Intercept from a Graph

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Choose the slope and Y-intercept of this graph.

• Slope: 1

  Y-int: 1,000

• Slope: 100

  Y-int: 1,000

• Slope: -100

  Y-int: 1,000

• Slope: 1

  Y-int: 10

What is the slope?

• $2/1 mile drive

• $1/2 miles driven

• 2 miles driven/$1 

• 1 mile driven/$2

i

h

g

a

f

e

(1, 15)

(0, 13)

15/5

(5, 27)

3

18 months

(6,30)

16 months

Compare the initial values and the rates of change.

• The functions have different initial values and different rates of change.

• The rates of change are the same, but the initial values are different.

• The functions have the same initial value, but the rates of change differ.

• The y-intercepts are the same, but the rates of change differ.

What is the meaning of the slope?

• The cost to get into the fair is $5

• The total cost for the day will increase by $1.75 for every ride you go on.

• The cost to get into the fair is $1.75

• The total cost for the day will increase by $5 for every ride you go on. 

Charlie rented a moving truck. He paid a daily fee plus a per-mile fee to rent the truck. The equation below represents the daily amount Charlie paid for the truck if he drives it x miles.
y=0.5x+10
What does the slope of the graph of this equation represent?

• The daily fee for the moving truck

• The per-mile fee for the moving truck

• How much Charlie paid for the truck

• The number of miles he drove

The graph represents gasoline consumption when driving a certain distance in km.  What is the meaning of the slope?

• The tank started with 50 L of gasoline

• the amount of gasoline consumed per km driven

• the distance it takes to lose a Liter of gas

• the gasoline is leaking because the slope is negative.

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