Linear Relationships
4
The slope for this graph
0
The start value in this graph
12 meters
A big ship drops its anchor. E(t) models the anchor's elevation relative to the water's surface (in meters) as a function of time t (in seconds). E(t)=-2.4t+75 How far does the anchor drop every 5 seconds?
Proportional Relationship
A relationship that is a straight line on a graph AND passes through (0,0) is called...
Linear Relationship
A relationship that is represented by a straight line on a graph is called...
$8.40
Elena babysits her neighbor's children. Her earnings are given by the equation y=8.40x, where x represents the number of hours she worked and y represents the amount of money she earned. Jada earns $7 per hour mowing her neighbors' lawns. How much money does Elena earn each hour?
y=7x
Elena babysits her neighbor's children. Her earnings are given by the equation y=8.40x, where x represents the number of hours she worked and y represents the amount of money she earned. Jada earns $7 per hour mowing her neighbors' lawns. What equation represents Jada's earnings
33 cm
Ever since Renata moved to her new home, she's been keeping track of the height of the tree outside her window. H(t) models the height of the tree (in centimeters), t years since Renata moved in. H(t)=210+33t How fast does the tree grow each year?
210 cm
Ever since Renata moved to her new home, she's been keeping track of the height of the tree outside her window. H(t) models the height of the tree (in centimeters), t years since Renata moved in. H(t)=210+33t How tall was the tree when Renata moved in?
It is a straight line
How you know if a GRAPH is linear.
There is a constant rate of change between the variables.
How you know if a TABLE is linear
y=mx+b
The format for a linear EQUATION
x-axis
The horizontal axis
50
The rate of change in this graph
5
The rate of change in this table
-5
The rate of change in y=-5x+30
Constant of Proportionality
The ratio of 2 proportional quantities. (y divided by x)
-10
The start value in this table (when x=0)
30
The start value in y=-5x+30
y-axis
The vertical axis
20
The y-intercept for this graph
y=-2/3x+1
What is the equation for this line?
-1
What is the slope of the blue line?
-2/3
What is the slope of this line?
5
What is the y-intercept of the blue line?
1
What is the y-intercept of this line?
(2,3)
Where do these two lines intersect?
