Algebra 1
No trumpets sound when the important decisions of our life are made. Destiny is made known silently.
Agnes DeMille
Today:
• 5.5 Assignment
• 5.5 Check Up
• 5.6 Instruction
• Practice

Algebra 1
No trumpets sound when the important decisions of our life are made. Destiny is made known silently.
Agnes DeMille
Assignment:
• 5.5 p303 #3-17 odd,
21-37, 48, 51-55 odd,
• Chapter 5 Test on
Monday

5.6
Find the equations of the lines. Use slope-intercept form.
1.
the line that passes through (5, 32) and (7, 16) y   8 x  72
2.
the line
3.
the line that passes through (-12, that passes through (2, -
- 15) and (-18,-12) y  
5) and (2,-30)
1
2 x  21 x  2
4.
perpendicu y  24 x lar
 to y 
50
2
3 x 2 and passes through (8, 3)
$770 y  
3
2 x  15
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?

5.6
Objectives:
1. Write linear equations in standard form
2. Using standard forms of linear equations in the real world
Vocabulary: standard form

5.6
• Slope-Intercept form
– Used to graph a line y = mx + b
– Used to find equations of lines
• Point-Slope form y - y
1
=m(x - x
1
)
– Used to find equations of lines
• Standard Form
– Used in Real World
Ax + By = C
– Used to graph a line (intercepts)

Writing an Equation in Standard Form
Ax + By = C
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 -3x + y = 4
2x + 3y + 4 = 5x – 4y – 5 y – 4 = 6(x – 2)
-3x + 7y = -9
6x – y = -8

Writing an Equation in Standard Form
Ax + By = C
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 
2
3 x y 
3
5 x 
2
7
2x + -3y = 6
-3x + 5y = 35
 5x  11 
1
2 y
10x + 11y = 22

Finding Equations in Standard Form
Write the standard form of an equation of the line passing through (-4,3) with a slope of -2.
2x + y = -5
Write the standard form of an equation of the
3 line passing through (-5,1) with a slope of .
-3x + 4y = 19

Finding Equations in Standard Form
Write the standard form of an equation of the line passing through (3,0) and (-5,3).
3x + 8y = 9

Horizontal and Vertical Lines
Write the equation of the line shown in the graph in standard form.
y = 4 x = -3
-6 -4 -2
-2
4
3
2
1
7
6
5
-4
-6
1 2 3 4 5 6 7 y = -7 x = 1

Horizontal and Vertical Lines
Write the standard form of an equation of the horizontal line passing through (5,7).
y = 5
Write the standard form of an equation of the vertical line passing through (3,-6).
x = 3

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

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

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

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
6
12
8
9
12
4
0

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.

Algebra 1
No trumpets sound when the important decisions of our life are made. Destiny is made known silently.
Agnes DeMille
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