SlopeIntercept Form (y = mX + b) 
GOAL: I can solve write linear equations is SlopeIntercept form given an unformatted equation. 
Text reference: Chapter 5, section 3B, pages: 306 ─ 312 
Illinois learning standard: 8.A.3b 
NCTM standard: XX─XX 
Lesson Vocabulary 

Linear Equation 
Is an equation that models a linear function. In other words, it is an equation that represents a straight line. 
Linear Equation Variable "X" (as in y = mX + b) 
The X variable in the
SlopeIntercept linear equation ( y = mX + b ) CAN ONLY be raised to the
first power, in other words, just X. The X variable CANNOT be raised to a higher power like X^{2}, X^{3}, or X^{4}. Also X CANNOT be used as an exponent like 2^{x}. Either of these two "NONOs" causes the line to turn into a curve (which we'll learn about later). 
"m" (as in y = mX + b) 
"m" stands for the Slope of the line. Slope is a measure of steepness of a line or something real like the steepness of a hill. Positive (+) slopes look like lines going UP as we look at them from left to right on a graph. Negative (─) slopes look like lines going DOWN as we look at them from left to right on a graph. Zero slopes look FLAT like horizontal lines when we look at them on a graph. Oh, and by the way, a straight UP and DOWN line (vertical) has an undefined slope because the slope is so steep it is infinite. 
"b" (as in y = mX + b) 
"b" stands for the YIntercept of the line. The YIntercept is the number value on the Yaxis (vertical axis) where the line crosses it. It could be positive or negative. 

Strategies and Content Practice 
Notes 
Begin
(prepare) 
Check for prior knowledge. Review the variable and constant movement techniques. See Chapter 2, Sections 2 for a refresher and videos. 

Engage  Students need to be able to rearrange the term of a linear equation to get the equation into slopeintercept form ( y = mx + b ). In order to do this, they need to be able to apply the movement techniques they learned in chapter 2, section 2.
To engage the students, have the try the Sample Problem below. After they have tried a few (or all) click on the Solutions link to see a stepbystep explanation of how to get the equation into slopeintercept form.


Assess
(formative) 
After example problems and videos, have students try to solve the Sample Problems below. After students have had time to complete them, click on the Solutions link and go through the stepbystep process for solving each problem. Repeat if necessary with additional example problems in the book and reassess. 

Apply 
Practice Assignment (coming soon)


Assess (formative)  Answers to the Practice Assignment (coming soon)

 Apply  Click HERE to download the Graded Assignment.  
Sample Problems 
Sample Solutions 
2y + 4x = 8 
Click Here for stepbystep solution. 
4y ─ 3 = 8x 
Click Here for stepbystep solution. 
3y = 9x 
Click Here for stepbystep solution. 
3y + 2x = 12 ─ 4x 
Click Here for stepbystep solution. 
