### b - Ms. Hatch -

```m Before b !
UNIT 5.06
I can solve any equation for y and put it into slopeintercept form. I can then identify the unit rate and
starting point and interpret the equation!
Vocabulary
 Slope-Intercept Form of a Linear Equation:
A line on the coordinate plane can be described by the
equation y = mx + b, where m is the unit rate and b is the
starting point. This is the most common form of a Linear
Equation.
 In order to identify the unit rate and/or the starting point
it is easiest if an equation is in this form. But, a lot of
times, they are not...
WE CAN FIX THAT!
y = mx + b
Example:
 3y = –6 + 18x
3
3
3
y = –2 + 6x
All we need to do is
isolate y on the left
and make sure the
x-term is first on
the right followed
by the constant
term.
y = 6x - 2
• Find the Slope-Intercept form: _________________
6
• Find the Unit Rate, m: ____
-2
• Find the Starting Point, b: ____
Let’s Try It! y = mx + b
1)
 –7 + y = 2 + 5x
+7
+7
y = 9 + 5x
y = 5x + 9
• Find the Slope-Intercept form: _________________
5
• Find the Unit Rate: ____
9
• Find the Starting Point: ____
2)
Let’s Try It! y = mx + b
 3x + y = 8x – 6
-3x
-3x
y = 5x – 6
y = 5x - 6
• Find the Slope-Intercept form: _________________
5
• Find the Unit Rate: ____
-6
• Find the Starting Point: ____
Let’s Try It! y = mx + b
3)
 20x + 5y = 10
-20x
-20x
5y = 10 – 20x
5
5
5
y = 2 – 4x
y = -4x + 2
• Find the Slope-Intercept form: _________________
-4
• Find the Unit Rate, m: ____
2
• Find the Starting Point, b: ____
Let’s Try It! y = mx + b
4)
 6x – 4y = 8 + 12x
-6x
-6x
-4y = 8 + 6x
-4
-4
-4
y = -2 – 3/2x
y = -3/2x - 2
• Find the Slope-Intercept form: _________________
-3/2
• Find the Unit Rate, m: ______
-2
• Find the Starting Point, b: ____
Let’s Try It! y = mx + b
5)
 9x + y – 7 = 2x + 14
-9x
-9x
y – 7 = -7x + 14
+7
y
+7
Cody found a
package of oreo
LOVES oreo
= -7x + 21
y = -7x + 21
• Find the Slope-Intercept form: _________________
-7
• Find the Unit Rate, m: ______
21
• Find the Starting Point, b: ____
• Interpret the Linear Equation: __________...
Homework Time! 
5.07 M BEFORE B WS
I can solve any equation for y and put it into slopeintercept form. I can then identify the unit rate and
starting point and interpret the equation!
```