Math

8.4B

Slope and Y-Intercept

By Teresa Garcia

​The Rate of Change is just another name for SLOPE !!

​(0,-2) (3,0) (0,3) (4,1)

you can also choose any "pretty corner" ​

slope=​2/3 y=2/3x-2 slope = -1/2 y=-1/2x +3

​

​ positive negative

0​ 2 4 2

slope = 2 y=2x-4 slope = 2/3 or 0.667

y=2/3x + 4​

​

​

​

-4 -4 4 4​

​

​ downward

so the slope is negative.

​

y = -40x + 1,000 ​

​______________

_____________

4,000 10,000

​​

​

750 750

4,000 4,000​

​

​

​ 2 -5

​

y = 2x - 5​

​ 5 -11

-3​ 4

​

y = -3x + 4​

​Answer is A

Multiple Choice

What is the y-intercept of the graph ?

• 4

• 4/3

• 3

• 8/3

Multiple Choice

What is the y-intercept of the graph ?

• -3

• 2/3

• 3

• 9/2

Multiple Choice

The table lists several points that lie on the same line. What is the y-intercept of the line ?

• 4

• $$\frac{1}{2}$$  

• -1

• $$\frac{1}{4}$$  

Multiple Choice

Several ordered pairs that represent a linear equation are shown on the table. What is the y-intercept of the line graph for this relationship ?

• -0

• -3

• 3

• -6

Fill in the Blanks

Fill in the Blanks

Multiple Choice

What are the slope and y-intercept of the graph shown?

• slope = $$\frac{2}{5}$$  ' y-intercpet = 2

• slope = $$-\frac{5}{2}$$  ' y-intercpet = 5

• slope = $$\frac{5}{2}$$  ' y-intercpet = 2

• slope = $$-\frac{2}{5}$$  ' y-intercpet = 5

Multiple Choice

What are the slope and y-intercept of the graph of the linear function shown?

• slope = 2 ,

  y-intercpet = -4

• slope = -2,

  y-intercpet = 2

• slope = 2,

  y-intercpet = 2

• slope = -2

  y-intercpet = -4

Multiple Choice

Dina withdraws the same amount from her bank account each week. The graph shows the balance in her account over a period of 4 weeks.

What was the starting balance in her account, at Week 0?

• $350

• $400

• $375

• $425

Multiple Choice

The graph shows the growth of a baby elephant.

How many kilohgrams did the elephant weigh at birth?

• 158 kg

• 175 kg

• 171 kg

• 160 kg

Multiple Choice

The table shows a linear relationship between x and y. Which of the following is the rate of change and the y-intercept?

• Rate of Change = 15

  y-intercept = 100

• Rate of Change = 15

  y-intercept = 0

• Rate of Change = 20

  y-intercept = 100

• Rate of Change = 20

  y-intercept = 0

Multiple Choice

The table shows a linear relationship between x and y. Which of the following is the rate of change and the y-intercept?

• Rate of Change = -42

  y-intercept = 0

• Rate of Change = -42

  y-intercept = 630

• Rate of Change = 168

  y-intercept = 0

• Rate of Change = 168

  y-intercept = 630

Multiple Choice

Marlena bought a car in 2010. As years passed, the value of the car decrease linearly, as shown on the table.

What was the purchase price of the car in 2010, and how much does it decrease each year?

• $24,590; decreases $2,540 each year

• $24,500; decreases $2,450 each year

• $25,500; decreases $2,540 each year

• $25,050; decreases $2,450 each year

Multiple Choice

Marvin rad a book during spring break. Each day he read the same number of pages. The number of pages he had left to rad at the end of each is shown on the table.

How many pages were in the book, and how many pages does he read each day?

• 418 pages in the book;

  38 each day

• 228 pages in the book;

  28 each day

• 380 pages in the book;

  38 each day

• 410 pages in the book;

  28 each day

Multiple Choice

The approximate distance in miles that sound travels over time in seconds is show in the graph. What is the slope of the line?

• 0.66

• 0.37

• 0.22

• 0.33

Multiple Choice

Caroline's Catering has a fixed service charge for a banquet and an additional charge that depends on the number of guests at the banquet. The graph shows the total charge for a banquet.

Which is the Rate of Change of the graph?

• $10 per guest

• $9 per guest

• $14 per guest

• $19 per guest

Multiple Choice

The cost of renting a boat for different times is shown in the table. The relationship shown is linear.

Which of the following is the hourly rate for renting the boat?

• $22.50

• $30.50

• $51.00

• Not here

Multiple Choice

The average low temperature for a town is shown in the table. The relationship shown is linear.

What is the rate of change of the average low temperature, in degrees fahrenheit per month ?

• $$15\degree F$$  

  per month

• $$30\degree F$$  

  per month

• $$7.5\degree F$$  

  per month

• Not Here

Multiple Choice

The cost of a class going to the theater includes a fixed bus fee and the cost of a ticket for every member of the class.

What is the bus fee and the cost of each ticket?

• Bus: $100

  Ticket: $10

• Bus: $200

  Ticket: $10

• Bus: $200

  Ticket: $8

• Bus: $100

  Ticket: $8

Multiple Choice

The steady drop in temperature before a storm is shown in the graph.

What was the starting temperature and rate of change of the temperature?

• Starting Temp: $$78\degree F$$  

  Rate of change: $$-8\degree F$$  

• Starting Temp: $$78\degree F$$  

  Rate of change: $$-4\degree F$$  

• Starting Temp: $$82\degree F$$  

  Rate of change: $$-4\degree F$$  

• Starting Temp: $$82\degree F$$  

  Rate of change: $$-8\degree F$$