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
What is the y - intercept of a graph starting at 0?
0 or (0, 0)
100
Identify the gradient of the linear equation
y = -x + 6
The gradient is -1
100
An equation written in the form:
y = mx + c
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
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
200
What is the gradient of the linear function
y = 14
0
200
Courtney starts with 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
Complete the sentence:
The point where the line crosses the x axis. At this point y = 0, this is called the _______________.
x-intercept
300
Write the linear function in this graph:
y=20x-15
300
Which coordinates lie on the graph of
y = 2x − 1?
a. (0, -1), (15, 29)
b. (-2, -4), (1, 3)
a. (0, -1), (15, 29)
300
Write the equation of the table below.
x -1 0 1 2
y -2 1 4 7
y = 3x + 1
300
You are at school, 12 km's away from home. You start walking home with your friends at a speed of 3 km's per hour towards your home.
a. Write an equation that represents your distance from home (y) after (x) hours.
a. y = -3x + 12
400
; Steepness of the line
All these are ways to describe, identify, or calculate the concept of ________________.
SLOPE/GRADIENT
400
Is this point (1, -2) on the line: y = 3x + 4?
No
400
Which graph is steeper?
y = -12x - 13
y = 10x + 15
y = -12x - 13
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
Telstra 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 a family spends in total after x months.
y=100x+25
500
In the general equation: y = mx + c
Identify what each variable represents:
= 
= 
= c =
= vertical coordinate
= gradient
=horizontal coordinate
=y intercept
500
Write a linear equation that passes through the points (0,2) and (-4,10).
y= -2x +2
500
Would (2,-2) be a solution to the equation
y = 2x - 1
NO, when x=2, y=3
500
Find the slope of a line that passes through the points (0, 5) and (2, 10)
m = 5/2
500
The equation y=-500x + 3000, represents the elevation of a plane, where:
y = height in metres and x = number of km's.
How many km's until it reaches the ground? (y=0)
6 km's