SLOPE & Y-INTERCEPT
Identify slope and y-intercept of a function:
y= -3x + 4
m= -3
b= 4
Susan has $140. If she saves $2.50 per week, how long will it take her to have $200?
140+2.50w = 200
24 weeks.
Write an equation for each contextual situation. Indicate the rate of change (slope) and the y-intercept:
Sally borrows $100 from her brother Carl. She made an agreement to pay him back $15 per week.
y=15x-100
m=15; b=-100
Identify slope and y-intercept of a function:
4x + y = -7
m= - 4
b= - 7
Tony’s Aunt agrees to give Tony $400 to buy a used car as long as Tony pays back $40 per month. What is our equation?
y=40x-400
Write an equation for each contextual situation. Indicate the rate of change (slope) and the y-intercept:
Tom borrowed $400 from his friend, Scott. He made an arrangement to pay him back $25 per week.
y = 25x – 400; rate of change = 25; y-intercept = –400
Identify slope and y-intercept of a function:
-3x - 5y= 10
m= -3/5
b= -2
Samantha begins the year with $300 in her bank account. Each month, she deposits $60. What is the equation?
y=60x+300
Write an equation for each contextual situation. Indicate the rate of change (slope) and the y-intercept:
Sam rents a bike for a fixed price of $25 but has to pay additional $5 per hour.
y = 5x + 25; rate of change = 5; y-intercept = 25
Identify slope and y-intercept of a function:
5y= -10x -3
m= -2
b= -3/5
Write an equation for the following contextual situations. Indicate the slope and the y-intercept.
Danny has $450 in his bank account. Each month, he deposits $100.
y = 100x + 450; rate of change = 100; y-intercept = 450
Write an equation for each contextual situation. Indicate the rate of change (slope) and the y-intercept:
Andy has $1500 in his bank account. Each month, he deposits $300.
y = 300x + 1500; rate of change = 300; y-intercept = 1500
SLOPE-INTERCEPT FORM: ----------
where m, is the ------- also know as the --------- ------ ----------
and b, is the ----------, the initial value.
y=mx+b
m: slope AKA rate of change
b:y-intercept
Ashley rented a car for $100 but for each mile she drives, she needs to pay $0.25.
y = .25x + 100; rate of change = .25; y-intercept = 100
Create an equation and table by using a contextual situation. For the table, use 0, 1, 2, 3 for the x values.
Leah borrowed $300 from her mom. She decided to pay her back $20 per week.
y = 20x – 300
For the table: x values: 0, 1, 2, 3 and y values are –300, –280, –260, –240]