Vocabulary
Writing Linear Functions
Graphing Linear Functions
Slope
Intercepts
Function or not
100
Linear functions are those whose graph is a...
Linear functions are those whose graph is a straight line.
100
Write a linear function in slope-intercept form where slope is 3/4 and the y-intercept is -6
y=3/4 x-6
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 linear 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
What test is used to find out if a graph is a function.
What is the vertical line test?
200
Describe the x-intercept and y-intercept.
The x intercept is the point where the line crosses the x axis. At this point y = 0.
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 goes through the point (0, 5)
f(x)=-9x+5
200
The point (0, -5) is a point on the line:
y=1/2 x - 5
Name another point on the line.
Answers will vary. When put into the equation: y = 1/2 x -5, it needs the make a true statement.
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 are the x and y-intercepts of the linear function:
4x+1/2y=8
x-intercept: 2
y-intercept: 16
200
Anthony is buying carrots and celery at the grocery store. The carrots cost $1.50 per pound and the celery costs $1.25 per pound. He has $10 to spend.
Write an equation to represent how he can split up his purchases.
1.5x+1.25y=10
300
Description of slope.
the steepness of a graph
300
Write the linear function in this graph:
y=20x-15
300
The given table shows solutions to a linear function.
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
12x – 6y = –36
x-intercept:(-3,0)
y-intercept: (0,6)
300
Does this set of ordered pairs represent a function:
(0,3), (2, -5), (0, 4)
What is "not a function."
400
Slope-Intercept Form
=y coordinate
=slope
=x coordinate
=y intercept
400
Write a linear equation that contains the points (0,2) and (5,0).
2x + 5y = 10
or
y = -2/5x + 2
400
If a line goes has a y-intercept of (0,5) and has a slope of 2, find a.
(a, 7)
a = 1
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:
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. Does this situation represent a function or not.
What is "this is a function"?
500
The set of all x-values.
What is the domain?
500
Write an equation for the line through (0,3) and (7,0).
3x + 7y = 21
or
y = -3/7x + 3
500
What is the slope of the linear function:
-8x + 4y = 12
2
500
Find the slope between the two points:
(-3, 5) and (6, -8)
-13/9
500
What are the x and y-intercepts of 4x - 2y = 6.
x-intercept:
3/2
y-intercept:
-3
500
Evaluation f(x) = 3x + 5 if x = 2.
What is f(2) = 11?