1. Ch6.4_6.8_SystemsOfEquationsAndInequalities.notebook December 07, 2011
Graph
y = 2x + 1

2. Ch6.4_6.8_SystemsOfEquationsAndInequalities.notebook December 07, 2011
Chapter 6.4 and 6.8
Systems of Equations
Systems of Inequalities

3. Ch6.4_6.8_SystemsOfEquationsAndInequalities.notebook December 07, 2011
To graph a line in slope intercept form:
y = ­3x + 5
1) plot the y­intercept
2) use the slope to find
the next point
3) connect the dots
To graph a line in point slope form:
y ­ 2= 2(x + 5)
1) identify the point
[take opposite #'s from equation]
2) use the slope to find
the next point
3) connect the dots

4. Ch6.4_6.8_SystemsOfEquationsAndInequalities.notebook December 07, 2011
Graph the following equations

5. Ch6.4_6.8_SystemsOfEquationsAndInequalities.notebook December 07, 2011
System of Equations
2 or more equations
graphed on the same graph
y = 2x + 2
y = x + 1
The solution of the system is the
POINT where the lines intersect

6. Ch6.4_6.8_SystemsOfEquationsAndInequalities.notebook December 07, 2011
Graph the following systems
NOTE: It will be easier if you rewrite y = mx + b
equations in slope intercept form

7. Ch6.4_6.8_SystemsOfEquationsAndInequalities.notebook December 07, 2011
Graphing Inequalities
Same as graphing a line,
but now we shade the graph
y < .... dotted line; shaded BELOW
y ≤.... solid line; shaded BELOW
y > .... dotted line; shaded ABOVE
y ≥.... solid line; shaded ABOVE
EXAMPLES
NOTE: rewrite in slope­
intercept form
y = mx + b

8. Ch6.4_6.8_SystemsOfEquationsAndInequalities.notebook December 07, 2011
System of Inequalities
2 or more inequalities
graphed on the same graph
y > 2x + 2
y < x + 1
The solution of the system is the
REGION where the inequalities overlap

9. Ch6.4_6.8_SystemsOfEquationsAndInequalities.notebook December 07, 2011
Graph the following systems
NOTE: the inequality sign flips when we divide by a negative number
y = mx + b
Is (­1, 2) a solution
to the system?
Is (­1, 2) a solution
to the system?

10. Ch6.4_6.8_SystemsOfEquationsAndInequalities.notebook December 07, 2011
Find all ordered pairs (x, y)
that satisfy the following
conditions
1) x is greater than 1
2) y is greater than zero
3) x + y < 9
4) x + 3y ≥ 6

11. Ch6.4_6.8_SystemsOfEquationsAndInequalities.notebook December 07, 2011
Homework
Page 260 #1 ­ 7
Page 278 #9 ­ 16