Linear Functions
Linear or Non-Linear
Linear or Non-Linear Functions #2
Writing Linear Equations
Writing Linear Equations #2
100
The graph of this equation is a straight line.
Linear equation
100
Will this equation: y = 3x-2 be a linear or non-linear line?
Linear
100
Does this graph represent a linear function?
Yes, it's a linear function!
100
In a linear equation, which variable represents rate of change?
The variable m.
100
In a linear equation, which variable represents the initial value?
The variable b.
200
What is the equation of this linear function?
It is y = (-1/3)x + 5
200
Will this equation: y + 2 = 6x be a linear or non-linear line?
Linear
200
Using a table, how do you determine if a function is linear or non-linear?
Calculate rate of change/slope. If it is constant it is linear.If it is not constant it is non-linear.
200
A line has a slope of 1/3 and goes through the point (0, 8). What is the linear equation that represents this line?
The linear equation is y = (1/3)x +8
200
A line has a slope of -5 and goes through the point (0, -7). What is the linear equation that represents this line?
The linear equation is y = - 5x - 7.
300
What is the equation of this linear function?
It is y = 4x + 6.
300
Will this equation: y = - x3 + 3 be a linear or non-linear line?
Non-linear
300
No, it's a non-linear function!
300
An online clothing company sells custom sweatshirts. The company charges $6.50 for each sweatshirt and a flat fee of $3.99 for shipping. What linear equation represents this situation?
The linear equation is y = 6.5x + 3.99.
300
Tara wants to rent a tent for an outdoor celebration. One company charges a $100 set-up fee and $350 per hour to rent their tent. What is the linear equation that represents this situation?
The linear equation is y = 350x + 100.
400
Which linear function has the greater rate of change? What is the rate of change for each panda?
The table has a greater rate of change. Mochi has a rate of change of 4 lbs/week. Kappa has a rate of change of 3 lbs/week.
400
y=2/x+7
Does this equation represent a linear or non-linear equation?
non-linear
400
Does this table represent a linear function?
No, it's a non-linear function!
400
Re-write the equation into y=mx+b form:
y - 4 = -3(x - 3)
y = -3x + 13
400
Re-write the equation into y=mx+b form:
3y + 2x = -6
y = -2/3x - 2
500
Which linear function has a greater initial value? What is the initial value for each panda?
The graph has a greater initial value. Mochi has an initial value of 1 lb. Kappa has an initial value of 2 lbs.
500
Does this table show a linear or non-linear equation?
x y
0 0
1 3
2 1
3 3
4 5
Non-linear equation
500
Does this table represent a linear function?
Yes, it's a linear function!
500
Write a linear equation to describe the table.
Interpret the slope and the y-intercept
y = 3x + 2
$3 per game
$2 to start
500
Write a linear fuction to describe the table.
Interpret the slope and the y-intercept
y = -5/3x + 10
The temperature drops 5 degrees every 3 hours.
The temperature started at 10 degrees.