Linear Functions
Graphs and Eqs
Graphs and Eqs
Interpreting Linear Functions
Slope
Linear Functions
Word Problems
Word Problems
Linear Functions Vocabulary
100
What linear function represents the graph?
y= 3/4x - 5
100
Which point lies on the graph of
y = 2x − 1?
(-2, -4) or (0, -1)?
(0, -1)
100
What is the slope of the table?
Slope = 3
100
A rental car costs $30 per day plus $0.20 per mile driven. Write the equation to find the total cost, y, for x miles driven in a single day.
What is y = 0.2x+30 ?
100
The point where a line crosses the y-axis. It is the value of y when x=0.
Y-Intercept (b)
200
What linear function represents the graph?
y=3x+3
200
Write an equation for this table in slope intercept form.
y=4x+6
200
Find the slope of a line that passes through the points
(0, 5) and (2, 10)
Slope = 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.
a) If an equation is written in slope intercept form, what is the value of "b" (y-intercept)?
b) What does the value of b represent?
a) $250
b) How much the attorney charges when first meeting
200
A measure of how one quantity changes in relation to another. For a linear function, it is the same as the slope.
Rate of Change
300
A linear function has a slope of -3 and passes through the point (2,-2).
Write the equation of the line in slope-intercept form.
y=-3x+4
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
Find the slope of a linear function that contains the points
(-2 , 8) and (5 , -13)
-3
300
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.
a) What linear functions represents this situation?
b) How long will it take to get to 95 gallons in the tank?
a) y= 8x +55
b) 5 min
300
In a function, the _______ is the independent variable. It is the value that is substituted into the function to determine the output.
Input
400
Write a linear function to represents this graph:
y=20x-15
400
What is the y-intercept of the graph
x = 4 ?
There is none, x=4 is a vertical line that does not lie anywhere on the y-axis
400
What is the slope of the linear function
y = 14?
0
400
A video streaming app charges a $9 membership fee and $1.50 for each video stream.
a) Write a linear equation in slope-intercept form to model this scenario.
b)How much would it cost to stream 12 videos?
a) y=1.50x + 9
b) $27
400
The following words and phrases are commonly also known as the ___________?
Initial Value
Starting Point
Fixed Value
Entrance Fee
Y-Intercept
500
Write a linear function for a line that passes through the points (0,2) and (-4,5).
y= -3/4x + 2
500
Convert the equation below to slope intercept form
-2x - 3y = -12
-3y=2x-12
y=(2x)/-3 - 12/(-3)
y=-2/3x+4
500
What is the slope of the line with equation x = -7?
Undefined
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 hours
500
A _________ function is a function whose graph does not show a constant slope between the input (x) and output (y).
Non-linear