Identifying Linear Functions
Using Intercepts
Slope
Slope intercept form
Linear/non, function/not
100
What is a function whose graph forms a straight line called?
linear function
100
What is the x-coordinate of the point where the graph intersects the x-axis called?  
What is the x intercept
100
What is the slope of a horizontal line?
Zero
100
What is slope intercept form?  Hint: y= ....
y=mx+b
100

Is the function linear or non-linear?  y = 2x2 - 5

Non-linear

200
What is the "rate of change" the same as?
slope
200
Find the x intercept: 2x- 4y=8
x=4
200
What is the slope of a vertical line?
Undefined
200
Write the equation in SIMPLEST FORM: slope=0, y intercept =-5  
y=-5
200

Is the function linear or non-linear? y = 2

Linear
300

A) Tell whether the function is linear and B) state the slope: y=x+3

Yes, m = 1
300
Find the y-intercept of the equation:  y = x
y=0,  Since y=x is the same as y=1x + 0
300
Find the slope (rise/run) of (4,-2) and(-1,2)
 -4/5
300
Write the equation in slope intercept form for the given situation: Maria has $10 in her purse, but sells candy at school for $5 per day.
y=5x + 10
300

Is the following a function or a relation? 

(1,2), (2,2), (3, 2), (4,2)

Function
400
Tell whether the set of ordered pairs is linear or nonlinear: (2,4), (5,3) (8,2), (11,1)
Linear, constant change in 3 for x. Constant change of -1 in y
400
What is the y- intercept in the following situation: Lunch costs $2.50, but you can buy extra snacks for $0.50 each.
2.50 and it represents the cost of a lunch
400
Find the slope of (20,3000) and (60,2000)
What is -25
400

Write the equation in slope intercept form for the given situation: Nathan has saved $1,500,000 and doesn't need to work.  WRITE IN SIMPLEST FORM.


y = mx + b IN SIMPLEST FORM

y = 1,500,000    or y = 0x + 1,500,000
400

Is the following a function or a relation?

(1,2), (2,3), (3, 4), (1,5)

Relation
500
How do we determine if a graph is discrete and not continuous?  (Do not say "dots" or "line")
It is countable.
500
How much would a lunch cost if 5 lunches cost $27.50?
$5.50
500
Challenge: Find the rate of change of the equation: 5y= 6x + 30
What is 6/5
500

Write the equation in slope intercept form for the given situation: Chris is broke, but he decides to work two jobs every day, each for the same number of hours each day.  One job pays $7.50 per hour, and the other one pays $12 per hour.  

y = mx + b       IN SIMPLEST FORM

y = 19.50x
500

What is f(3) given f(x) = -4x2 + 7


Hint: remember PEMDAS

-29, since     f(3) = -4(3)2 + 7  = -4(9)  + 7 

                          = -36 + 9 = -29

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