Vocabulary
Writing Linear Functions
in y=mx+b form
in y=mx+b form
Graphing Linear Functions
Slope
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 slope of -9 and a y-intercept of 5
y =-9x+5
100
What is the y - intercept of a direct proportional graph?
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 slope 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
Find the slope of a line that passes through the points (0, 5) and (2, 10)
m = 5/2
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
What is the gradient of the linear function
y = 14
0
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.
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's per hour - walking closer to home (it is negative since the distance is getting shorter)
c. 12 km's away from home (the starting point)
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
Write the equation of the table below.
x -1 0 1 2
y -2 1 4 7
y = 3x + 1
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