algebra 1 standard form

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Agenda Tuesday, Nov. 30 Do Now homework 13 p. 301 # 4 - 14, 16, 18 - 24, 40 - 42 Homework Check 6-3 Standard Form Examples 1 - 3 Quiz on 6.1 - 6.3 Thursday

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Page 1: Algebra  1  Standard Form

Agenda Tuesday, Nov. 30

Do Now

homework 13 p. 301 # 4 - 14, 16, 18 - 24, 40 - 42

Homework Check

6-3 Standard Form Examples 1 - 3

Quiz on 6.1 - 6.3 Thursday

Page 2: Algebra  1  Standard Form

HW CHECK

Page 3: Algebra  1  Standard Form

Do Now

With your partner, please complete both sides of the handout. These will be most of your notes for this section.

Page 4: Algebra  1  Standard Form
Page 5: Algebra  1  Standard Form
Page 6: Algebra  1  Standard Form

Standard Form of a Linear Equation

Ax + By = CA,B, & C are all real numbers and A and B are not both zero

3x + 4y = 8A = 3, B = 4 and C = 8

Useful for graphing.

Find the x and y intercepts. What is the value of y at the x-intercept? y = 0What is the value of x at the y-intercept ?

x = 0

Page 7: Algebra  1  Standard Form

8/3

x y

0

0

3x + 4y = 8

Solve for the x and y intercepts.

3x + 4y = 83x + 4(0) = 83x = 8x = 8/3

3x + 4y = 83(0) + 4y = 8 y = 2

Substitute 0 for the x to find y intercept.

2

Substitue 0 for y to find the x intercept.

Page 8: Algebra  1  Standard Form

x y

0

0

2

8/3

(0,2) = y-intercept(8/3, 0) - x-intercept

plot both points & draw your line

Page 9: Algebra  1  Standard Form

x y

0

0

You try:Find the x and y intercepts and graph the equation 4x - 9y = 12

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WHITEBOARD PRACTICE

What are the x and y-intercepts?

x + 2y = 18(18, 0) (0, 9)

-5x + y = 30 (-6, 0) (0, 30)

-2x - 3y = -12 (6, 0) (0, 4)

What is the equation of each line in Standard Form?

x = 3 y = 1 x = 0