How do you find b? “DRY” How do you find b? How do you find b (dry)?
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Transcript of How do you find b? “DRY” How do you find b? How do you find b (dry)?
![Page 1: How do you find b? “DRY” How do you find b? How do you find b (dry)?](https://reader035.fdocuments.net/reader035/viewer/2022062714/56649d0e5503460f949e4142/html5/thumbnails/1.jpg)
How do you find b?
![Page 2: How do you find b? “DRY” How do you find b? How do you find b (dry)?](https://reader035.fdocuments.net/reader035/viewer/2022062714/56649d0e5503460f949e4142/html5/thumbnails/2.jpg)
How do you find b?
![Page 3: How do you find b? “DRY” How do you find b? How do you find b (dry)?](https://reader035.fdocuments.net/reader035/viewer/2022062714/56649d0e5503460f949e4142/html5/thumbnails/3.jpg)
“DRY”
How do you find b?
![Page 4: How do you find b? “DRY” How do you find b? How do you find b (dry)?](https://reader035.fdocuments.net/reader035/viewer/2022062714/56649d0e5503460f949e4142/html5/thumbnails/4.jpg)
How do you find b (dry)?
![Page 5: How do you find b? “DRY” How do you find b? How do you find b (dry)?](https://reader035.fdocuments.net/reader035/viewer/2022062714/56649d0e5503460f949e4142/html5/thumbnails/5.jpg)
Review
What is slope-intercept form?Y = mX + b
?
![Page 6: How do you find b? “DRY” How do you find b? How do you find b (dry)?](https://reader035.fdocuments.net/reader035/viewer/2022062714/56649d0e5503460f949e4142/html5/thumbnails/6.jpg)
Review
What is slope-intercept form?Y = mX + b
Input
![Page 7: How do you find b? “DRY” How do you find b? How do you find b (dry)?](https://reader035.fdocuments.net/reader035/viewer/2022062714/56649d0e5503460f949e4142/html5/thumbnails/7.jpg)
Review
What is slope-intercept form?Y = mX + b
?
![Page 8: How do you find b? “DRY” How do you find b? How do you find b (dry)?](https://reader035.fdocuments.net/reader035/viewer/2022062714/56649d0e5503460f949e4142/html5/thumbnails/8.jpg)
Review
What is slope-intercept form?Y = mX + b
Output
![Page 9: How do you find b? “DRY” How do you find b? How do you find b (dry)?](https://reader035.fdocuments.net/reader035/viewer/2022062714/56649d0e5503460f949e4142/html5/thumbnails/9.jpg)
Review
What is slope-intercept form?Y = mX + b
?
![Page 10: How do you find b? “DRY” How do you find b? How do you find b (dry)?](https://reader035.fdocuments.net/reader035/viewer/2022062714/56649d0e5503460f949e4142/html5/thumbnails/10.jpg)
Review
What is slope-intercept form?Y = mX + b
Rate of changea.k.a. Slope
![Page 11: How do you find b? “DRY” How do you find b? How do you find b (dry)?](https://reader035.fdocuments.net/reader035/viewer/2022062714/56649d0e5503460f949e4142/html5/thumbnails/11.jpg)
Review
What is slope-intercept form?Y = mX + b
?
![Page 12: How do you find b? “DRY” How do you find b? How do you find b (dry)?](https://reader035.fdocuments.net/reader035/viewer/2022062714/56649d0e5503460f949e4142/html5/thumbnails/12.jpg)
Review
What is slope-intercept form?Y = mX + b
Starting amounta.k.a. ‘y-intercept’
How do you find b?
![Page 13: How do you find b? “DRY” How do you find b? How do you find b (dry)?](https://reader035.fdocuments.net/reader035/viewer/2022062714/56649d0e5503460f949e4142/html5/thumbnails/13.jpg)
Riddle
I started with some money.
Every week I earned $100.
After 4 weeks, I had $900.
How much did I start with?
b
m X Y
![Page 14: How do you find b? “DRY” How do you find b? How do you find b (dry)?](https://reader035.fdocuments.net/reader035/viewer/2022062714/56649d0e5503460f949e4142/html5/thumbnails/14.jpg)
Riddle
I started with some money.
Every week I earned $100.
After 4 weeks, I had $900.
How much did I start with?
b
m X Y
4 900
![Page 15: How do you find b? “DRY” How do you find b? How do you find b (dry)?](https://reader035.fdocuments.net/reader035/viewer/2022062714/56649d0e5503460f949e4142/html5/thumbnails/15.jpg)
Riddle
I started with some money.
Every week I earned $100.
After 4 weeks, I had $900.
How much did I start with?
b
m X Y01234 900
![Page 16: How do you find b? “DRY” How do you find b? How do you find b (dry)?](https://reader035.fdocuments.net/reader035/viewer/2022062714/56649d0e5503460f949e4142/html5/thumbnails/16.jpg)
Riddle
I started with some money.
Every week I earned $100.
After 4 weeks, I had $900.
How much did I start with?
b
m X Y0123 8004 900
![Page 17: How do you find b? “DRY” How do you find b? How do you find b (dry)?](https://reader035.fdocuments.net/reader035/viewer/2022062714/56649d0e5503460f949e4142/html5/thumbnails/17.jpg)
Riddle
I started with some money.
Every week I earned $100.
After 4 weeks, I had $900.
How much did I start with?
b
m X Y012 7003 8004 900
![Page 18: How do you find b? “DRY” How do you find b? How do you find b (dry)?](https://reader035.fdocuments.net/reader035/viewer/2022062714/56649d0e5503460f949e4142/html5/thumbnails/18.jpg)
Riddle
I started with some money.
Every week I earned $100.
After 4 weeks, I had $900.
How much did I start with?
b
m X Y01 6002 7003 8004 900
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Riddle
I started with some money.
Every week I earned $100.
After 4 weeks, I had $900.
How much did I start with?
b
m X Y0 5001 6002 7003 8004 900
$500
4 * 100Gained $400
900 – 400Started with $500
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Write the equation of the linear relationship with:
m: 100
point: (4, 900).
mY = mX + b
900 = 100(4) + b
900 = 400 + b–400– 400
500 = b
x y
“DRY”
Y = 100X + 500
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Ex. 1: Write the equation of a line that goes through (7, 8) and has a slope of 2.
Y = mX + b
NEED m and b
How to use (7, 8)???
Input Output
NEED b!!!
X Y
Y = 2X – 6
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Ex. 1: Write the equation of a line that goes through (7, 8) and has a slope of 2.
Y = mX + b
How to use (7, 8)???
Input Output
8 = 2(7) + b8 = 14 + b
-6 = b
Y = 2X – 6
– 14– 14
X Y
![Page 23: How do you find b? “DRY” How do you find b? How do you find b (dry)?](https://reader035.fdocuments.net/reader035/viewer/2022062714/56649d0e5503460f949e4142/html5/thumbnails/23.jpg)
Ex. 2: Write the equation of a line with this information:
slope: -5
point: (-4, 3)
Y = mX + b3 is NOT
y-intercept!!!
X Y
m
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Ex. 2: Write the equation of a line with this information:
slope: -5
point: (-4, 3)
Y = mX + b
3 = -5(-4) + b3 = 20 + b
-17 = b
Y = -5X – 17
– 20– 20
X Y
m
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Ex. 3: Write the equation of a line that goes through (0, 8) and has a slope of 2.
Y = mX + b
NEED m and b Y = 2X + 8
![Page 26: How do you find b? “DRY” How do you find b? How do you find b (dry)?](https://reader035.fdocuments.net/reader035/viewer/2022062714/56649d0e5503460f949e4142/html5/thumbnails/26.jpg)
Ex. 3: Write the equation of a line that goes through (0, 8) and has a slope of 2.
Y = mX + b
NEED m and b Y = 2X + 8
![Page 27: How do you find b? “DRY” How do you find b? How do you find b (dry)?](https://reader035.fdocuments.net/reader035/viewer/2022062714/56649d0e5503460f949e4142/html5/thumbnails/27.jpg)
Ex. 4: Write a rule from this information:
m: -4 point: (8, -2)
Y = mX + b
-2 = -4(8) + b-2 = -32 + b
30 = bY = -4X + 30+ 32+ 32
X Ym
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Ex. 5: Write an equation for a relationship with this information:
m: zero.
point: (-4, -6)
Y = -6
The change in y when x increases by one
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Ex. 6: Write an equation for a relationship with this information:
m: undefined.
point: (-4, -6)
X = -4
The change in y when x increases by one
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The End