Vocabulary
Writing Linear Functions
in y=mx+b form
in y=mx+b form
Graphing Linear Functions
Gradient
Applying Linear Equations
100
Fill in the blank:
If the graph of a relationship is a line, it is considered a _________________ relationship or function.
Linear
100
Write a linear function with a gradient 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
An equation written in the form:
is in what form?
Gradient Intercept form
200
Complete the sentence:
The point where the line crosses the y axis. At this point x=0, this is called the _________________.
y-intercept
200
Write a linear function with gradient of -2 and a y-intercept of -4.
y=-2x-4
200
What is the y - intercept of y=x?
0
200
Find the gradient of a line that passes through the points (0, 5) and (2, 10)
m = 5/2
200
Courtney has 2 coins and collects 4 more each week.
a) Write an equation that represents her total coins (y) based the number of weeks (x).
b) How many coins will she have after 11 weeks?
a) y = 4x + 2
b) 46
300
; Steepness of the line
All these are ways to describe, identify, or calculate the concept of ________________.
Gradient
300
Write the linear function in this graph:
y=20x-15
300
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
300
What is the gradient of the linear function
y = 14
0
300
You are at school, 12 km away from home. You start walking home with your friends at a speed of 3 km per hour towards your home.
a. Write an equation that represents your distance from home (y) after (x) hours.
b. What does the gradient of the equation represent?
c. What does the y-intercept of the equation represent?
a. y = -3x + 12
b. 3 km per hour - walking closer to home (it is negative since the distance is getting shorter)
c. 12 km away from home (the starting point)
400
In the general equation:
Identify what each variable represents:
= 
=
=gradient
=y intercept
400
Write a linear function that passes through the points (4,19) and (13,55) and has a y-intercept of -5/8
y= 4x - 5/8
400
Would (2,-2) be a solution to the equation
y = 1/2x - 1
NO, when x=2, y=0
400
Find the gradient of a linear function that contains the points (-2 , 8) and (5 , -13)
m=(-13-8)/(5-(-2))=-21/7
m=-3
400
T-Mobile charges $100 a month for a family plan for four people. They also charge a one time set up fee of $25. Write a function to show how much money she spends in total after x months.
y=100x+25
500
Complete the sentence:
The point where the line crosses the x axis. At this point y = 0, this is called the _______________.
x-intercept
500
Write a linear function that passes through the points (0,2) and (-4,5).
y= 3/4x +2
500
Which graph is steeper?
y = -12x - 13
y = 10x + 15
y = -12x - 13
500
Write the equation of the table below.
x -1 2 5 8
y -2 7 16 25
y = 3x + 1
500
The equation y=-500x + 3000, represents the elevation of a plane, where:
y = height in km and x = number of km.
How many km until it reaches the ground? (y=0)
6 km