Notes, Lesson 2.2
Graphs of Equations
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Definition:
Linear Equation An equation whose graph is a line.

Graph 2y=4x-8
y = 2x-4
 It is best to first solve the equation for y. (get y alone on one side of the equation) 

In this case, this can be done by dividing both sides by 2.
X
Y
0
-4
2
0
1
-2
-1
-6
3
2
 		 Pick 5 different values for x, and calculate the corresponding values for y based on the given equation. It is wise to pick zero, some positives and some negatives.
Plot each of the five ordered pairs that resulted from the above step. Try to sketch a line which includes all 5 points. Because this is possible in this problem, it is a linear equation. 

Graph .
 
It is best to first solve the equation for y. (get y alone on one side of the equation) 

In this case, it is already solved for y..
X
Y
0
-1
2
3
1
0
-1
0
3
8
-2
3
-3
8
 		 Pick at least 5 different values for x, and calculate the corresponding values for y based on the given equation. It is wise to pick zero, some positives and some negatives.
Plot each of the five ordered pairs that resulted from the above step. Try to sketch a curve which includes all 7 points. 

Graph .
 
It is best to first solve the equation for y. (get y alone on one side of the equation) 

In this case, it is already solved for y..
X
Y
0
1
4
3
2
1
1
0
-1
2
3
2
-2
3
-3
4
 		 Pick at least 5 different values for x, and calculate the corresponding values for y based on the given equation. It is wise to pick zero, some positives and some negatives.
Plot each of the five ordered pairs that resulted from the above step. Try to sketch a curve which includes all 8 points. 


Some Notes from Class