Vocabulary
Writing Linear Functions
Graphing Linear Functions
Slope
Intercepts
Modeling with Linear Functions
100
Linear Function
Linear functions are those whose graph is a straight line.
A linear function has one independent variable and one dependent variable.
100
Write a linear function in slope intercept form (y = mx+ b form)
Add 1 flower every 3 days to and you know the following:
after 12 days, you have 75 total flowers = point
(12, 75)
y = 1/3x + 71
100
Which lists contains only points that line on the graph of y = 2x − 1?
a. (0, -1), (15, 29)
b. (-2, -4), (1, 3)
c. (-2, -3), (0, 0)
d. (2000, 1999), (3, 5)
a. (0, -1), (15, 29)
100
Find the slope of the proportional function
f(x)=2/3x
2/3
100
What are the x and y-intercepts of the following graph?
x-intercept: 2.5
y-intercept: -2
100
Mr. Garvey gives out two pages of homework to every student. Write a linear equation to model the number of pages he has to print as a function of the number of students.
y=2x
200
y-intercept
The y intercept is the point where the line crosses the y axis. At this point x=0
200
Write a linear function with a slope of -9 and a y-intercept of 5
f(x)=-9x+5
200
What is the equation of the line with a slope of 0 and thru the point (2,–1)
y=0x -1 OR
y = -1
200
Find the slope of a function where when the x-value is increased by 10, the y-value increases by 4
m = 2/5
200
What is the y-intercepts of the linear function:
y = -2/3x + 16
y-intercept: 16
200
Anthony is eating swedish fish at the grocery store. He eats 2 every 5 minutes. He started with 80 fish.
Write an equation in standard form to represent how this situation.
y = -2/5x + 80
300
Slope
the steepness of a graph
300
Write the linear function in this graph:
y=20x-15
300
The given table shows a directly proportional relationship between x and y.
What is the missing number in the table?
x 0 2 4 6
y -1 1 ? 5
3
300
What is the slope of the linear function
y = 14
0
300
What are the x and y-intercepts of the linear function
y = 2x + 6
x-intercept:(-3,0)
y-intercept: (0,6)
300
Maria wants to buy oranges. Let x= number of oranges and y= the total cost. Oranges are $5 a pound. Write an equation.
y = 5x + 0
y = 5x
400
Slope-Intercept Form
=y coordinate
=slope
=x coordinate
=y intercept
400
Write a linear function that contains the points (0,2) with a slope of 3/4.
f(x)=3/4x +2
400
for the equation y = 2x + 1 would the test point (2,-2) create a true statement?
NO, plug in 2 out comes 5 so it should be (2,5)
400
Find the slope of a linear function x = 12
slope = undefined
400
What are the x and y-intercepts of the linear function:
3y+5=5x-10
x-intercept: 3
y-intercept: -5
400
T-Mobile charges $100 a month for a family plan for four people, but that doesn't include the cost of the phone. Tiana buys a phone for $600 and splits the cost of the phone plan with her family of four. Write a function to show how much money she spends on her phone and plan after m months.
f(m)=25m+600
500
Undefined Slopes have graphs that look like ____________________________
Straight VERTICAl lines with equations x = #
500
Find the equation in slope intercept form with a slope of -4 and through (2,–2)
y = -4x + 10
500
What is the slope of the linear function:
y = 12
0
500
The table shows values for What is the SLOPE?
x 1 5 9 13
y 8 11 14 17
slope = 3/4
500
If you have a graph that starts at the point (0,11) and you add 1/4 every day, what is the equation?
y = 1/4x + 11
500
You are working at Sheetz and made $12/hour. If you already have $25,
a. Write an equation that represents this situation.
b. How much will you have working 7.5 hours?
a. y = 12x + 25
b. $115