Find equation of line
Write in slope intercept form
Word Problem Interpretation
Write in point slope form
Average Rate of Change
100
m = 2 and y-intercept = 3
What is y=2x+3
100
x+y=4
What is y=-x+4
100
If a stalk of bamboo grew 3.0 centimeters each day, how much would it grow over the course of a week?
21 centimeters
100
(4,-3), m=-1
What is y+3=-1(x-4)
100
Find the average rate of change over the interval 7 < x < 44
15/37
200
m = 2/3 and y-int (0,7)
What is y=2/3x+7
200
x-3y=6
What is y=1/3x-2
200
On Monday, it rained 1 inch of rain. Each following day through Saturday it rained 3 inches more than the previous day. How much did it rain on Friday?
13 inches of rain
200
(-5,-6), m=2
What is y+6=2(x+5)
200
What is the average rate of change over the interval 1 < x < 3 ?
-2
300
(4,-1) and (2,3)
What is y=-2x+7
300
3x - 2y=-16
What is y=3/2x+8
300
A train slams on its breaks to avoid falling off a broken bridge. The breaks are applied 1 mile out from the bridge and slow the train by 4 mph every second. The train is initially travelling at 120 mph. How long does it take the train to stop?
30 seconds
300
(-7,2), m=3
What is y-2=3(x+7)
300
What is the average rate of change over the interval 3 < x < 5 ?
3
400
m = 3/4 and f(0) = -2
What is y=3/4x-2
400
16=-8y-4x
What is y=-1/2x-2
400
A man is recovering from having been poisoned. His body clears half the remaining poison every hour. He feels better after the poison is less than 1/128th it's original concentration. How long does this take?
7 hours
400
(-5,-6), m=44/88
What is y+6=1/2(x+5)
400
What is the average rate of change over the interval
-1 < x < 2 ?
-1
500
f(2) = 5 and f(-2) = -1
What is y=3/2x+2
500
30/15x=9y+5/8
What is y=2/9x-5/72
500
You must have an average score of at least 80 to get a B on your report card. You have
scores of 61, 70, 99 and 70. What is the minimum score you must get on the last test to get at least a B on your report card?
100
500
(8.25, 3.5), m=1/8
what is y-3.5=(.125)(x-8.25)
500
What is the average rate of change over the interval
1 < x < 4 ?
1/3