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Algebra
Tuesday
November 29, 2011
EQ: What is the slope intercept form of a linear equation?
On Your Desk:
• Homework from last night
• Pencil
• Paper
• Calculator
Everything else in the floor!
pg. 275 - 277 #14-27 all, #29-43 odd; #45, #46, #51, #52
24. y = 3/2 x
14. y = 2x - 6
26. y = -5
16. y= 1/2 x + 3
46. $30 billion
18. y = -x + 10
52. B
20. y = 3x + 1
22. y = -4x + 2
1
EQ: What is the slope intercept form of a linear equation?
The Standard Form of a Linear Equation is:
Ax + By = C
A, B, and C are integers, with no common factors and A is
positive....
If we solve the above equation for y.... we can change the equation
to Slope Intercept Form of a Linear Equation....
2
EQ: What is the slope intercept form of a linear equation?
Slope Intercept Form:
Standard From Solved for y:
y = mx + b
y =-A x + C
B
B
Can you make a relationship between the slope and A, B, and C?
m = -A
B
Can you make a relationship between the y-intercept and A, B, and
C?
y-intercept = C
B
3
EQ: What is the slope intercept form of a linear equation?
Using the relationships you built, can you state the slope and yintercept for each Standard Form Linear Equation? (Bonus if you
can tell me which equation is not in true Standard Form.....)
2x + y = 4 A = 2 B = 1 C = 4
m = ­A y­intercept = C 4x + 3y = 24
B B m = ­4 y­intercept = 24
= 4 3
=­2
3 4x + 6y = ­36
­4
1 1 = /3 = 8
m = ­2 y­int. =­6
Slope = ­2 y­intercept = 4
3
x ­ 3y = ­27
m = ­1 y­int. = ­27
­3
­3
= 1/3 = 9
x ­ 2y = 6
m = ­1 y­intercept = 6
­2 ­2
= 1/2
= ­3
4y = 20
m = 0 y intercept = 5
4
EQ: What is the slope intercept form of a linear equation?
State the Slope and y-intercept for each of the equations...
y = 5
y = 1 x + 9
3
y = ­2 x ­ 6
3
y = ­2x + 4
y = 1 x ­ 3
2
y = ­4 x + 8
3
5
EQ: What is the slope intercept form of a linear equation?
Using the relationships you built, can you pair the Standard Form
of a Linear Equation to its Slope Intercept Form?
2x + y = 4
4x + 6y = ­36
x ­ 2y = 6
y = ­2x + 4
y = ­2 x ­ 6
y = 1 x ­ 3
3
2
4x + 3y = 24
y = ­4 x + 8
3
x ­ 3y = ­27
y = 1 x + 9
3
4y = 20
y = 5
6
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