Today:• 5.5 Assignment• 5.5 Check Up• 5.6 Instruction• Practice

No trumpets sound when the important decisions of our life are made. Destiny is made known silently.

Agnes DeMille

Algebra 1

Assignment:• 5.5 p303 #3-17

odd, 21-37, 48, 51-55 odd,

• Chapter 5 Test on Monday

No trumpets sound when the important decisions of our life are made. Destiny is made known silently.

Agnes DeMille

Algebra 1

CHECK UPFind the equations of the lines. Use slope-intercept

form.

5.6

16) (7, and 32) (5, through passes that line the 1.

(-18,-12) and 15)- (-12, through passes that line the 2.

(2,-30) and 5)- (2, through passes that line the 3.

5. A sports camp charges a registration fee and a daily amount. If a total bill for 12 days is $338 and for 19 days a bill is $506, find the equation that determines the charges for this camp. How much would 30 days cost?

72x8y

21x 21

y

2x

50x24y

3) (8, through passes and 2 -x 32

y to larperpendicu 4. 15 x

23

y

$770

Objectives:

1. Write linear equations in standard form2. Using standard forms of linear

equations in the real world 

Vocabulary: standard form

The Standard Form of a Linear Equation

5.6

• Slope-Intercept form– Used to graph a line– Used to find equations of lines

• Point-Slope form– Used to find equations of lines

• Standard Form– Used in Real World– Used to graph a line (intercepts)

y = mx + b

y - y1=m(x - x1)

Ax + By = C

The Standard Form of a Linear Equation

5.6

To write an equation in standard form.

1.Eliminate fractions (multiply by denominators)

2.Move x & y terms to the left side and constant (number) to the right side.

Write these linear equations in standard form:

y = 3x + 4

2x + 3y + 4 = 5x – 4y – 5

y – 4 = 6(x – 2)

Example 1 Writing an Equation in Standard Form

Ax + By = C

-3x + y = 4

-3x + 7y = -9

6x – y = -8

To write an equation in standard form.

1.Eliminate fractions (multiply by denominators)

2.Move x & y terms to the left side and constant (number) to the right side.

Write these linear equations in standard form:

Example 1 Writing an Equation in Standard Form

Ax + By = C

2x + -3y = 62 -x 32

y

-3x + 5y = 357x 53

y 10x + 11y = 22

y21

115x

Write the standard form of an equation of the line passing through (-4,3) with a slope of -2.

Write the standard form of an equation of the

line passing through (-5,1) with a slope of .

Example 2 Finding Equations in Standard Form

2x + y = -5

-3x + 4y = 19

43

Write the standard form of an equation of the line passing through (3,0) and (-5,3).

Example 2 Finding Equations in Standard Form

3x + 8y = 9

Write the equation of the line shown in the graph in standard form.

1 2 3 4 5 6 7

123

56

4

7

-6

-2

-4

-6-4 -2

y = 4 x = -3

y = -7 x = 1

Example 3 Horizontal and Vertical Lines

Write the standard form of an equation of the horizontal line passing through (5,7).

Write the standard form of an equation of the vertical line passing through (3,-6).

Example 4 Horizontal and Vertical Lines

y = 5

x = 3

Example 5 Standard Equations in Real Life

If you have $50 to spend at a used book sale. They can buy paperbacks for $1 and hardcover books for $4. Find a linear equation to model the possible combinations of books.

x + 4y = 50

How many paperback books you could buy?

50 paperbacks

How many hardcovers books could you buy?

12 hardcovers

Example 5 Standard Equations in Real Life

You are in charge of purchasing apples and oranges for the camp you work at during the summer. A bag of oranges costs $4 and a bag of apples costs $3.00. You have $48 dollars to spend. Write an equation that models the possible ways you can buy bags of oranges and apples.4x + 3y = 48

Make a table of possible costs.

Oranges

Apples

Example 5 Standard Equations in Real Life

You are in charge of purchasing apples and oranges for the camp you work at during the summer. A bag of oranges costs $4 and a bag of apples costs $3.00. You have $48 dollars to spend. Write an equation that models the possible ways you can buy bags of oranges and apples.4x + 3y = 48

Make a table of possible costs.

Oranges

Apples

0

3

6

9

12

Example 5 Standard Equations in Real Life

You are in charge of purchasing apples and oranges for the camp you work at during the summer. A bag of oranges costs $4 and a bag of apples costs $3.00. You have $48 dollars to spend. Write an equation that models the possible ways you can buy bags of oranges and apples.4x + 3y = 48

Make a table of possible costs.

Oranges

Apples

0 16

3 12

6 8

9 4

12 0

Assignment:

5.6 p311 #5-15 odd, 16, …5.6

To write an equation in standard form.1.Eliminate fractions (multiply by

denominators)2.Move x & y terms to the left side and

constant (number) to the right side.

Assignment:• 5.6 p311 #3-15

odd, 16,18-60 x3, 64, 67-69

• Chapter 5 Notes Quiz on Monday

• Chapter 5 Test on Tuesday

No trumpets sound when the important decisions of our life are made. Destiny is made known silently.

Agnes DeMille

Algebra 1