Chapter Seven:  Graphs and Linear Equations

Take notes on the following topics.
Algebra 1 Notes

Chapter Seven

Section 7.1

Section 7.2

Section 7.3

Section 7.4

Section 7.5

Section 7.6

Section 7.7

Section 7.8

Section 7.9

Section 7.10

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 



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Section 7.5     Equations and Slope

(Examples provided by Prentice Hall)

Part I: Finding Slope From an Equation

Find the slope of each line.

 
Example 1   y = 3x + 1
We choose the points (0, 1) and (1, 4). 

The slope is (4 - 1)/(1 - 0)   = 3. 

Notice that this is the same as the coefficient of x.

Example 2 3x + 5y = 7
First, we solve for y.
3x + 5y = 7
5y = –3x + 7
y = (– 3/5)x + (7/5) 
The slope is – 3/5.

Part II: Slope-Intercept Equation of a Line

Find the slope and y-intercept of each line.

 
Example 1   y = 5x + 7
The slope is 5 and the y-intercept is 7.

Example 2 4x + 7y = 8 (Solve for y)
7y = –4x + 8
y = (–4/7) x +(8/7) 
The slope is –4/7 and the y-intercept is 8/7.

Part III: Graphing Using the Slope-Intercept Equation

Graph the equation.

 
Example 1   y = (2/3)x + 2
The slope is 2/3 and the y-intercept is 2. First plot the y-intercept (0, 2). Next, find a second point by "rising" 2 and "running" 3 to the right  . The point is (3, 4). Connect the points to graph the line.

 

Take class notes.

Before starting your homework, rework the examples that are illustrated in this section of your textbook and the examples that I demonstrated in class. 

Then do your homework.

Write down questions (examples or concept that you do not understand).......then.............. Ask these questions in class.