How many points do you need to make a line?
2
What does interpret mean?
write it in words
3x+15y=30
find the X and Y intercept write them as ordered pairs
(0, 2)
(10,0)
Solve:
3=-2(x+5)-9
12=-2(x+5)
12=-2x-10
22=-2x
x=11
which is the y-intercept?
A (2, 0) B (4, 8)
C (3, 1) D (0, 8)
D (0, 8)
If a problem says they "started with...." what is that value?
y-intercept
6x+7y=42
find the x and y intercept and write them in ordered pairs
(0, 6)
(7, 0)
15x+10y=60
15(2)+10y=60
30+10y=60
10y=30
y=3 John can buy 3 wrenches
Ryan is selling toys. He sells 30 toys for $265. If the number of toys is represented by t and the cost is represented by C(t), write this scenario in function notation
C(30)=265
If a problem asks you "what does the slope mean in the context of the problem" what do you do?
Slope is the change in y over change in x. So you explain as the output does ____ the input does _____. Where output and input replaced with the units of both variables
Given the equation 10x+15y=-15
Rewrite it in a way to QUICKLY find the y intercept
15y=-15-10x
y=-1-(10/15)x
Given the equation 5x+2y=10 write it in slope intercept form
2y=10-5x
y=5- (5/2)x
What are the 3 ways to find slope?
change y/change x
y2-y1/x2-x1
rise over run
What are the 3 equations we have been working with?
slope intercept: y=mx+b
point slope: y-y1=m(x-x1)
Standard: Ax+By=C
If frank buys only hotdogs he can buy 10 packs
If frank buys only hamburgers he can by 6 packs
Adam bought a new shelf for his shoes. If he puts only his crocs(y) on the shelf he can fit 10. If he puts only sneakers(x) on the shelf he can fit 5. Write an equation that shows the relationship of this linear function.
y intercept: (0,10) x intercept: (5,0)
slope: 0-10/5-0=-10/5=-2
y=-2x+10
Sam has to drink 24 ounces of fluid before he goes to bed. He can drink water which is 8 ounces or soda which is 6 ounces. Write this scenario in an equation where water is w and soda is s.
8w+6s=24
What do you do to find "y in terms of x"?
y by itself
y=mx+b
Sandy has $60 to buy food for her dogs. She can buy chicken(x) for $10 per bag and steak(y) for $15 per bag. Interpret the y and x intercepts.
If Sandy bought only chicken she could buy 6 bags
If Sandy bought only steak she could buy 4 bags
No hours dog walking, 4 hours cashier
6 hours dog walking, no hours cashier
3 hours dog walking, 2 hours cashier