3.3 Graphing Linear Systems
2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10
The solution
to this system
is (3,-2)
The Solution of a system is where the lines

Intersect
2
-2
4
-4
2
-2
4
-4
6
-6
State the solution:
(         )
,
2
-2
4
-4
2
-2
4
-4
6
-6
State the solution:
(         )
,
2
-2
4
-4
2
-2
4
-4
6
-6
State the solution:
(         )
,
2
-2
4
-4
2
-2
4
-4
6
-6
State the solution:
(         )
,
 x + 10y = 32

5x +  y   = 13
Solutions to systems satisfy  ALL equations
(2,3) is a solution to this system because
it satisfies ALL equations of the system:
 (2) + 10(3) = 32

5(2) +  (3)   = 13

Is the point (2, 3) a solution to:

 

x - y = -1

x + y = 4

 Yes

 No

Is the point (-4, 1) a solution to:

 

2x - y = -9

x + y = -3

 No

 Yes

A  + B  = C
Standard Form

A,B, and C are all
integers
3x + 4y =12
x       y
5x - 7y= 11
Examples:
Slope-Intercept Form
m= slope
b = y-intercept
y       x
y = 4x + 7

y = ⅜x - 2
Examples:
= m  +b
A  + B  = C
Standard Form
?
A,B, and C are all
integers
3x + 4y =12
x       y
5x - 7y= 11
Examples:
Slope-Intercept Form
?
m= slope
b = y-intercept
y       x
y = 4x + 7

y = ⅜x - 2
Examples:
= m  +b

Is this equation in slope-intercept form

or standard form?

 

y =2x - 3

Slope-intercept

Standard

To graph, do you find the slope and y-intercept

or the x-intercept and y-intercept?

 

                            y =2x - 3

slope and y-intercept

x-intercept and y-intercept

slope =(fraction)

What is the slope and y-intercept?

 

y =2x - 3

y-intercept = 

Is this equation in slope-intercpet form

or standard form?

 

4x - y = 12

Slope-intercept

Standard

To graph, do you find the slope and y-intercept

or the x-intercept and y-intercept?

 

4x - y = 12

slope and y-intercept

x-intercept and y-intercept

Finito
Finito
Finito
Finito
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