Interpreting Slope and Y-Intercept of Equations

The y-intercept is ​ (a)   and the slope is ​ (b)  

• (0,-3)

• (-3,0)

• (4,0)

• (0,4)

Mathematical Equivalence

ON

Match the following graphs with their slope.

• Positive Slope

• 
• Slope of Zero

• 
• Undefined Slope

• 
• Negative Slope

• 

Mathematical Equivalence

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 equation c = 0.20t + 3.50 shows the relationship between the charge c in dollars for renting a kayak for t minutes.  What is the meaning of the slope of the equation?

• For $1.00, you can rent a kayak for 20 minutes.

• It costs $0.20 per minute to rent the kayak.

• You have to pay $0.20 up front before using the kayak at all.

• Every .2 minutes, you have to pay $1.00.

What is the meaning of the y-intercept?

• Mrs. Franklin's meal will cost $6.85 if she brings no grandchildren. 

• Mrs. Franklin's meal will cost $2.95 if she brings no grandchildren. 

• Mrs. Franklin's bill will increase by $2.95 for every grandchild she brings. 

• Mrs. Franklin's meal will decrease by $2.95 for every grandchild she brings.

Interpret the slope.

• Janice saves $12,000 every 500 months

• Janice saves $500 every 12,000 months

• Each month, Janice saves an additional $500

• Each month, Janice saves an additional $12,000

Chris collects shoes. The equation y =3x + 122 models the number of pairs of Jordans(y) he has in his collection after x months.

Interpret the slope.

• Chris collects an additional 3 pair of Jordans each month

• Chris collects 122 pairs of Jordans every 122 months

• In 3 months, Chris will have 122 more pairs of Jordans.

• Chris sells 3 pairs of Jordans for $122 each.

What does the slope mean in the context of the problem?

• The cost will increase by $1.40 per topping

• The cost will decrease by $1.40 per topping

• The cost will increase by $1.90 per topping

• The cost will decrease by $1.90 per topping