Linear Functions
from Graphs
from Graphs
Writing Linear Functions
Gradient
Linear Functions
Word Problems
Word Problems
Random Math Stuff
100
A linear function has a gradient of -3 and passes through the point (0,4).
Write the equation of the line in gradient-intercept form.
y=-3x+4
100
Which point lies on the graph of y = 2x − 1?
(-2, -4) or (0, -1)?
(0, -1)
100
What is the gradient of relationship represented in a table?
gradient = 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
What are the "like" terms in the expression 6h + 5y - 2y + 8
5y and -2y
200
What linear function represents the graph?
y=3x+3
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 gradient of a line that passes through the points (0, 5) and (2, 10)
Gradient = 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 gradient-intercept form, what is the value of "c" (y-intercept)?
b) What does the value of c represent?
a) $250
b) How much the attorney charges when first meeting.
200
(x+5)/4=7
Solve for x
23
300
Write the equation of the 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 gradient 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
Evaluate
x^3 – xy – x/y if x = 2 and y = 0.5
3
400
Write a linear function to represents this graph:
y=20x-15
400
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
400
What is the gradient 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
9 2/14 – 3 15/21
5 3/7
500
What linear function represents the graph?
Y= 3/4x - 5
500
Convert the equation below to gradient-intercept form
-2x - 3y = -12
y=-2/3x+4
500
What is the gradient 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
Find the equation of the line that passes through (6,-4) and (-3,5)
y = -1x + 2