From a Table
From a Graph/Random
From 2 Points
Random
Word Problem
100
2
100
Find Slope
-1/2
100
(1, −19) and (−2, −7)
-4
100
slope is ____________ over ____________
slope is RISE over RUN
or the change in y over the change in x
100
A sunflower in Julia Rosario's garden was 12 centimeters tall when it was first planted. Since then, it has grown approximately 0.6 centimeters per day. Write an equation expressing the sunflower's height, H, in terms of the number of days, d, since it was planted.
What is H= 0.6d + 12?
200
2x Points
Slope is also considered: The _________ over the ______
The change in Y over the change in X
200
What letter to we use to represent slope in an equation?
m
200
(19, 3) and (20, 3)
0
200
What is the formula for finding slope from two points?
y2-y1/x2-x1
200
Roman paid $150 to join a handball club. He pays an additional $15 every time he uses one of the club's handball courts. Write an equation that describes Roman's total cost for playing handball as a function of the number of times he plays. Let C = the total cost and n = the number of times he plays.
What is C = 15n + 150?
300
3
300
undefined
300
(17, 13) and (22, 8)
-1
300
What is the slope of a horizontal line?
0
300
If a large factory sells its new gadgets for $5 each, it can sell 1050 per month, and if it sells the same gadgets for $9, it will sell 900 per month. Assuming the relationship between price and sales is linear, predict the monthly sales of gadgets to the nearest whole number if the price is $12.
What is 788?
400
3/2
400
Find Slope
-2
400
(6,7) (0,-3)
-5/3
400
A line goes down very steeply from left to right and has a slope of 8.
What makes you know this can't be true?
Would have to be negative
400
In 1980 the average price of a home in Brainerd County was $97,000. By 1986 the average price of a home was $109,000. Write a linear model for the price of a home, P, in Brainerd County as a function of the year, t. Let t = 0 correspond to 1980.
What is P=2000t+97,000?
500
Find the slope of the table
-4
500
if the two points
(2,3) and (x,7) have a slope of 4... what is the value of x?
x=1
500
(-18, -20) (-18,-15)
UNDEFINED
500
A vertical line has an undefined slope...why?
Because you can't divide by 0!
500
DOUBLE POINTS!!
The cost of a school banquet is $95 plus $15 for each person attending. Write an equation that gives total cost as a function of the number of people attending.
What is the cost for 77 people?
What is y = 15x + 95; $1250?