Vocabulary
Writing Linear Functions
Graphing Linear Functions
Slope
Linear Functions Word Problems
Miscellaneous
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 contain 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
100
linear or not?
(-2,3), (-1,3), (8,4), (11,2)
yes
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 standard form where A=2 B=-4 and C=19
2x-4y=19
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
200
Solve the equation for x:
2(x + 3) = 14
x = 4
300
Slope Formula
the steepness of a line
300
Write the linear function in this graph:
y=20x-15
300
DAILY DOUBLE!!!!
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
300
Describe the graph and slope of y=5
horizontal , m= 0
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 flows into the tank at a rate of 8 gallons per minute. What are the quantities being compared?
gallons and time (minutes)
400
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
How can you identify a linear equation?
The exponents of each the x and the y are both 1
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 or "NO" slope
500
You are at school, 12 miles away from home. You start walking home with your friends at a speed of 3 miles per hour towards your home.
a. Write an equation that represents your distance from home (y) after (x) hours.
b. How many hours does it take to get home?
a. y = -3x + 12
b. 4
500
Explain two ways you could solve 20 = 5(−3 + x)
1) Divide by 5 first, or (2) Distribute the 5 first