What is the variable we use to represent slope?
m
What variable do we use to represent the y-intercept?
B
What is the y-intercept of the line:
(0, -5) or -5
What is the y-intercept of the table:
(0,-3) or -3
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
What equation do we use for slope?
y = mx
or
rise/run
change Y/change X
What equation do we use for the y-intercept?
y = x + b
What is the slope of the following line:
1/3 (rise of 1, run of three)
What is the slope of the following table:
Slope is 5
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:
What is the slope of this line:
y = 1/5x
1/5 = slope
y = x - 12
-12 or (0,-12)
What is the equation of the following line:
y = x + 5
What is the y-intercept of the following table:
The y-intercept is 2 or (0,2)
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.
What is the slope of the following equation:
y = 3/2x + 2/3
slope: 3/2
What is the y-intercept of the following equation:
y = 100x + 10
10 or (0, 10)
What is the equation of the following line:
y = 1/4x
What is the slope of the following table:
Slope: 3
Find three points that would fall on the line:
y = 2/3x
Some possible Points:
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.
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)
***Challenge*** SLOPE-Yintercept Form
y=mx + b
What is the equation of the following line:
y = 2x + 3
What is the equation of the following table:
y = 3/4x
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