A relationship between two variables in which one
variable is a constant multiple of the other. When
graphing the line DOES pass through the origin.
Represented by y=mx form
X and Y values vary directly with each other
A relationship between two variables in which one
variable is a constant multiple of the other plus
a constant value. Graph DOES NOT pass through the
origin.
Represented by y=mx+b form
*y=mx and y=mx+b
*Y is the unknown
value
*M is the slope or how
much the line
increases
*B is the Y-intercept
*X is the value on the
X-axis
y=mx
M: is the constant of
variation
y=mx+b
M: is the constant of
variation
B: is the fixed cost
Direct
Variation
Partial
Variation
straight line
straight line
constant of variation
constant of variation
no fixed cost
fixed cost
x and y values
x and y values
starts at origin
starts anywhere but
origin
y=mx+b
y=mx
Bubba earns 24.00$ per hour at his grandfathers
donkey farm. Create a table of values that displays the
money earned by Bubba in 6 hours.
Hours
Money Earned
0
0
1
24.00
2
48.00
3
72.00
4
96.00
5
120.00
6
144.00
The relation for Bubba's graph displays the relationship between
his hours worked and his wages. We can say that his wages vary
directly with the hours worked. This type of relation is known as a
direct variation.
If we examine the formula of his hours worked and his wages, we would
get y=24x
Therefore this is in the form of y=mx, so it is a Direct Variation
Hours
Money
Earned
0
9.00
1
36.00
2
63.00
3
90.00
4
117.00
5
144.00
6
171.00
Bubba gets a new job at his uncles lama farm.
He now gets paid 9.00$ a day plus 27.00$ per
hour create a table of values that displays the
money Bubba earns at his new job.
The relation for Bubba's graph displays the new relationship
between his hours worked and his wages with a fixed daily wage.
We can say that his wages vary partially with the hours worked.
This type of relation is known as a partial variation.
If we examine the formula of his hours worked and his
wages, we would get y=27x+9
Therefore this is in the form of y=mx+b, which is a Partial Variation