Rate of Change/Slope
Find the Equation From a Graph
Find the Equation From Tables/Points
Creating Equations From Scenarios
Examples
100

Name the type of slope

What is..

NEGATIVE

100

Identify the slope/rate of change and y-intercept 

What is...

m=-1/2  

b=2

100

Find the slope/rate of change and y-intercept from the table

What is...

m= 4

b=3

100

Victoria moved into a new apartment and has decided to get Wi-Fi. In order  to get it installed she will be charged a $25 installation fee and $40 per month for the service. Identify the rate of change and y-intercept.

What is...

m= 40

b=25

100

When pressed this key shows the answer

What is...

Spacebar

200

Find the rate of change from the table 

What is...

m=6

200

Find the equation from the graph 

What is...

y=-1/2x+2

200

Find the equation from the table.

What is...

y=1.5x-5

200

Bird scooters cost $1 to unlock and $0.15 to ride per minute. Write an equation in slope-intercept form to represent the situation.

What is...

y=0.15x+1

300

Find the rate of change from the graph and interpret it in terms of the situation

What is...

m=-1/10

, every 10 mins the candle burns 1 inch

300

Find the equation representing the graph and interpret the slope/rate of change.

What is...

y=9x

m=$9 per t-shirt

300

Find the equation from the table and interpret the y-intercept (be specific to the situation)

The following table represents rides taken and money spent including the price for admission.

What is

y=2x+5

m= $2 per ride

b= $5 for admission 

300

An airplane 30,000 feet above the ground begins descending at the rate of 2000 feet per minute. Assume the plane continues at the same rate of descent. Write an equation in slope-intercept form to represent the situation. (interpret y and x)

y=-2000x+30000

400

Which segment of time did you travel the fastest?

(A to B, B to C, C to D, or D to E)

Explain how you know.

What is...

25 mph from A to B

0 mph from B to C

50 mph from C to D

25 mph from D to E

So the fastest travel time was from C to D 

400

Write the equation that represents the graph and interrupt all 4 parts of the equation.

What is...

y=-100/3x+400


400

Find the equation for the table and interpret all 4 parts (y,m,x,and b)

What is...

y=8x

y is the total amount of money

m is $8 per car

x is the amount of cars

b is 0, the starting value 

400

Your gym membership costs $30 per month after an initial membership fee. You paid a total of $170 after 4 months.  Write an equation that gives you the total cost related to the months of your gym membership.

y=30x+50