Slope
Y-intercept
Graphs
Tables
Anything Goes
100

What is the variable we use to represent slope?

m

100

What variable do we use to represent the y-intercept?

B

100

What is the y-intercept of the line:

(0, -5) or -5

100

What is the y-intercept of the table:

(0,-3) or -3

100

Ms. Patel drives 6 miles per day. Let x represent the days and let y represent the total miles driven.

Which table represents the situation:

Answer: Table B

200

What equation do we use for slope?

y = mx

or

rise/run

change Y/change X

200

What equation do we use for the y-intercept?

y = x + b

200

What is the slope of the following line:

1/3 (rise of 1, run of three)

200

What is the slope of the following table: 

Slope is 5

200

Complete the table to find three coordinate points that would be on the line: y = x + 1

There are many possible answers but here are some:

300

What is the slope of this line:


y = 1/5x

1/5 = slope

300
What is the y-intercept of the line:


y = x - 12


-12 or (0,-12)


300

What is the equation of the following line:

y = x + 5

300

What is the y-intercept of the following table:

The y-intercept is 2 or (0,2)

300

Leo and Hallie are raising money to go to six flags. The tickets cost $60. Let x represent the number of days, and Y represent the total money saved.

-Leo is working at a rate of $10 per day.

-Hallie has already saved up $50, and is working at a rate of $1 per day. 


A. Who will make $60 first? *Must explain WHY

 Leo will take 6 days to make $60. 

y=10x.  y=10x6. y=60

Hallie will take 10 days to make $60.

y = x + 50.   y = 10 + 50  y=60

Leo will make $60 first.

400

What is the slope of the following equation:


y = 3/2x + 2/3

slope: 3/2 

400

What is the y-intercept of the following equation:

y = 100x + 10

10 or (0, 10)

400

What is the equation of the following line:

y = 1/4x

400

What is the slope of the following table:

Slope: 3

400

Find three points that would fall on the line: 

y = 2/3x

Some possible Points:

500

Brayden is a coin collector. He collects 3 new coins each day. Let x represent the number of days, and y represent the total coins collected. 

A. What is the slope equation that would describe this relationship?

B. How many days would it take Brayden to collect 103 coins?

A. y = 3x


B. 35 days to collect 103 coins.

500

Derar is saving money to buy Virtual Reality Googles. He has already saved $850. He is collecting an additional $1 per day. Let x represent the number of days, and y represent the total money saved. 

A. What is the y-intercept form equation to describe this relationship:

B. How many days will it take for Derar to save enough money to buy the googles (they cost $1,000)?

A. y = x + 850 or y = 1x +850


B. 150 days   (1,000 = 150 + 850)

500

***Challenge*** SLOPE-Yintercept Form 

y=mx + b

What is the equation of the following line:

y = 2x + 3

500

What is the equation of the following table:

y = 3/4x

500

Netflix is offering two different payment plans. Let x represent the number of months, and y represent the total cost. 

Plan A: Sign-up fee of $70, and a charge of $1 per month.

Plan B: Rate of $7 per month.

Question: 

After 1 year, what would be the total cost of each plan?

Which plan is more affordable for 1 year?

Plan A: y = x + 70     y = 12 + 70   y = $82

Plan B: y = 7x    y = 7(12).  y = $84


Plan A is more affordable for 1 year. $82 < $84