Writing Linear Functions
Y Intercepts
Slope
Intercepts
Modeling with Linear Functions
100
Write a linear function with a slope of -9 and a y-intercept of 5
y =-9x+5
100
What is the y-intercept?
4
or
(0,4)
100
Identify the slope of the linear equation
y = -x + 6
The slope is -1
100
What are the x and y-intercepts of the following graph?
x-intercept: 2.5
y-intercept: -2
100
What are the three forms we have learned to write a linear equation?
Slope Intercept form
Standard form
Point-Slope form
200
Write the linear function in this graph:
y=20x-15
200
What is the y-intercept of the following equation:
y=2/3x-2
-2
200
Find the slope of a line that passes through the points (0, 5) and (2, 10)
m = 5/2
200
What are the x and y-intercepts of the linear function:
4x+2y=8
x-intercept: 2
y-intercept: 4
200
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 to represent the height of the airplane in feet above the ground f(x) in relationship to time in minutes x.
f(x)=-2000x+30000
300
Write a linear function that contains the points (0,2) and (-4,5).
y =3/4x +2
300
Frankie bought a new computer. He made an initial payment of $50 to the store, and he will pay $30 each month until the computer is paid off. If I were to write a linear relationship to represent this scenario, which numeric value represents my y-intercept?
50
300
What is the slope of the linear function
y = 14
0
300
What are the x and y-intercepts of the linear function
12x – 6y = –36
x-intercept:(-3,0)
y-intercept: (0,6)
300
A plumber charges a fee of $50 to make a house call. He also charges $25 an hour for labor. Write an equation that you could use to find the amount a plumber charges for a house call based on the number of hours of labor. Let x represent the number of hours for labor and y represent the total cost.
y=25x+50
400
Write a linear equation that goes through the points (-6,-5) and (-1,10).
y=3x+13
400
A) 200 stamps and 50 stamps every month
400
Find the slope of a linear function that contains the points (-2.5 , 9) and (5 , -13.5)
m=(-13.5-9)/(5-(-2.5))=-22.5/7.5
m=-3
400
What are the x and y-intercepts of the linear function:
-10x + 6y = -30
x-intercept: 3
y-intercept: -5
400
T-Mobile charges $100 a month for a family plan for four people. They also charge a one time set up fee of $25. Write a function to show how much money she spends in total after x months.
y=100x+25
500
What is the linear equation that represents the relationship below?
y=-1.5x+4
or
500
The table of yoga classes and costs represents a linear relationship. What is the y-intercept?
b= 30
500
What is the rate of change of the function below.
x -1 2 5 8
y -2 7 16 25
m= 3
500
Identify the slope and y-intercept of the standard form equation
-5x + 3y = -15
Slope intercept form y = (5/3)x - 5
Slope: 5/3
y-intercept: -5
500
A 2 foot tall pine tree was planted. The tree grows at an average rate of 4 feet per year.
Write an equation and use it to find how tall the tree is after it grows for 12 years.
y = 2 + 4x
y = 2 + 4(12)
y = 50 feet