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
Where would the graph of this line cross the y-axis?
y = 2x − 1?
(0,-1)
100
Identify the slope of the linear equation
y = -x + 6
The slope is -1
100
An equation written in the form:
is in what form?
Slope 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
What is the y - intercept of a proportional graph?
0 or (0, 0)
200
Find the slope 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 ________________.
SLOPE
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 slope of the linear function
y = 14
0
300
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. Write an equation that represents your distance from home (y) after (x) hours.
y = -3x + 12
400
In the general equation:
Identify what each variable represents:
= 
=
=slope
=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 slope 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
If the slope of a line is -2, what is x if the following points are on the line?
(0,x) and (2, 4)
x = 8
500
The equation y=-500x + 3000, represents the elevation of a plane, where:
y = height in feet and x = number of minutes.
How many minutes until it reaches the ground?
6 minutes