Vocabulary
Writing Linear Functions
Graphing Linear Functions
Slope
Linear Functions Word Problems
100
Describe a y-intercept.
The y intercept is the point where the line crosses the y axis. At this point x=0
100
Write a linear function with a slope of -9 and a y-intercept of 5
y =-9x+5
100
Which list contains points that lie 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
Identify the slope of the linear equation
y = -x + 6
The slope is -1
100
Name two forms of a linear equation
Slope Intercept form
Standard form
200
Describe an x-intercept.
The x intercept is the point where the line crosses the x axis. At this point y = 0.
200
Write a linear function in slope intercept form if the slope is 3 and the y intercept is -7
y=3x-7
200
Is there a y-intercept of the graph x = 4, and if so, what is it?
No!
200
Find the slope of a line that passes through the points (0, 5) and (2, 10)
m = 5/2
200
An attorney charges a fixed fee of $250 for an initial meeting and $150 per hour for all hours worked after that. If an equation is written in slope intercept form, what is the value of "b" (y-intercept)?
$250
300
Slope Formula
the steepness of a line
300
Write the linear function in this graph:
y=20x-15
300
The given table shows a linear function.
What is the missing number in the table? HINT: think rise/run
x 0 2 4 6
y -1 1 ? 5
3
300
What is the slope of the linear function
y = 14
0
300
A video streaming app charges a $9 membership fee and $1.50 for each video stream. Write a linear equation in slope intercept to model this scenario.
y=1.50x + 9
400
What is Slope-Intercept Form? Identify all its parts
=slope
=y intercept
400
Write a linear function that passes through the points (0,2) and (-4,5).
y= -3/4x +2
400
Given 5x - 2y = 20, find the x & y intercepts
x-intercept is (4, 0)
y-intercept is (0, -10)
400
Find the slope of a linear function that contains the points (-2 , 8) and (5 , -13)
-3
400
A water tank already contains 55 gallons of water when Baxter begins to fill it. Water begins leaking from the tank at a rate of 8 gallons per minute. Write a linear equation to represent the scenario.
y = -8x + 55
500
What is the slope of a vertical line?
undefined
500
Write x-2y=-4 in slope intercept from.
y=0.5x+2
500
Convert the equation below to slope intercept form
-2x + 3y = 12
y = 2/3x + 4
500
What is the slope of the line with equation x = -7?
Undefined
500
At the animal shelter, you have 72 ounces of water to give to cats and dogs. Each dog bowl can hold 9 ounces and each cat bowl can hold 6 ounces of water.
Write a standard form equation that represent all combinations of cats and dogs that can be given water.
9x + 6y = 72