2. Standard form
The standard form of an equation is:
Ax +By = C
A and B are not zero.
• How do you use this to graph a line? Simple
you solve for y and put the equation in slope-
intercept form.
3. Standard form
Standard form: Slope-intercept form:
Ax +By = C y = mx + b
3x + 2y = 8
3
-3x -3x y= x+4
2
2y = -3x + 8
3
2 2 m=
2
b=4
3
y= x+4
2
4. Standard Form
Put the following equations in slope-intercept form, then graph.
1. 4x + 2y = 12
2. 5x + 4y = 20
3. -6x + 18y = 36
4. -21x + 3y = 15
5. -30x + 5y = -15
6. 28 = -7x + 7y
5. Writing Standard Form Equations
Situation #3 Do you Wanna Dance?
Student Council is selling tickets to the Valentine Dance. Tickets cost $5 per person or $8 per
couple. To make a profit $1200 worth of tickets must be sold.
y
Let x = Number of $5 tickets sold 240 y
Let y = Number of $8 tickets sold
200
1. Equation: ____________________________
160
2. Which of the following is a solution of the equation:
120
$8 Tickets
a. (160, 40) b. (80, 100) c. (80, 80) d. (0, 150)
80
40
3. How many $8 tickets must be sold if no $5 are sold?
40 80 120 160 200 240
4. If x = 80 tickets, what is the value of y?
$5 Tickets
6. Writing Standard Form Equations
24 y
20
16
Hot Water Time
12
8
4
x
4 8 12 16 20 24
Cold Water Time
