Vocabulary
Writing Linear Functions
Graphing Linear Functions
Gradient
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 gradient of the linear equation
y = -x + 6
The gradient is -1
100
If a car is travelling 2km/hr what would the gradient of this graph be
2/1 = 2
100
linear or not?
A(-2,3), B(-1,3), C(8,4), D(11,2)
hint - compare gradients of points AB and CD - are they parallel?
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
Solve for C with the co-ordinate (10, 4)
y = 2(x) + c
c = 2
200
Is there a y-intercept of the graph x = 4, and if so, what is it?
No!
200
Find the gradient 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 a linear equation is written what is the value of c?
$250
200
Solve the equation for x:
2(x + 3) = 14
x = 4
300
What is the Slope Formula and what does it show?
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 gradient 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 gradient 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 gradient 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
What is the formula for Point-Slope Form?
y - y1 = m(x - x1)
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 gradient 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
Describe two ways you could start to solve the following 20 = 5(−3 + x)
1) Divide by 5 first, or (2) Distribute the 5 first