Linear Functions
from Graphs
from Graphs
Writing Linear Functions
Slope
Linear Functions
Word Problems
Word Problems
Linear Functions Vocabulary
100
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
100
Which point lies on the graph of y = 2x − 1?
(-2, -4) or (3,5)?
(3,5)
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
A measure of how the vertical quantity changes in relation to the horizontal quanity in a linear relationship.
Slope
200
Describe the value and meaning of slope in the situation graphed below:
3 inches of snow falls each hour
200
What is the y-intercept of the graph x = 4 ?
No, x=4 is a vertical line that does not lie on the y-intercept
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.
If an equation is written in slope intercept form, what is the value of "b" (y-intercept)?
$250
200
This is the value of y when x=0.
Y-Intercept (b)
300
Write a linear function for a line that passes through the points (0,2) and (-4,5).
y= -3/4x +2
300
Write an equation for this table in slope intercept form.
y=4x+6
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
This variable represents the inputs for a linear function.
x
400
Write a linear function that passses through the points:
(-3, -75) and (2,25)
y=20x-15
400
The given table shows a linear function.
What is the missing number in the table?
x 0 2 4 6
y -1 1 ? 5
3
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 phrases "Initial Value", "Starting Point", or "Figure Zero" refer to this location on the graph of a linear function.
Y- Intercept
500
What linear function represents the graph?
Y= 3/4x - 5
500
Convert the equation below to slope intercept form
-2x - 3y = -12
y = -
y=-2/3x+4
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 or y=3x-12
b. 4 hours
500
Describe the meaning of the symbol:
Deltay
Change in y or Delta y