Download Section 3.4 Solving Equations with Variables on Both Sides

Section 4.2
Graphing Linear Equations
Mr. Beltz &
Mr. Sparks
A. Definitions
Linear equation - an equation that can be written in the form:
Ax + By = C (Standard Form),
where A and B are not both zero. A linear equation when
graphed, is a line.
Solution of an equation - an ordered pair, (x,y), that makes the
equation true. An ordered pair solution, is a point
that is on the line.
Example #1: Determine whether the ordered pair is a solution of: x + 2y = 5
a) (1, 2)
x + 2y = 5
(1) + 2(2) = 5
1 + 4 = 5
5 = 5
b) (7, 3)
True Statement, (1,2) is a solution and on the line.
x + 2y = 5
(7) + 2(-3) = 5
7 + (-6) = 5
1  5 False statement, (7, -3) is not a solution or on the line.
B. Find Solutions of Linear Equations
Find 3 ordered pairs that are solutions to:
Step 1:
x
y
-2x + 2y = 4
-2x + 2y = 4
Get y by itself
+2x
+2x
1
2y = 2x + 4
0
2y = 2x + 4
-2
2
2
2
slope-intercept or function form:
y = x + 2
Step 2:
Substitute the value
y = 1 + 2
for x into the equation
y = 3
and solve.
Step 3: Place the values in the table.
Application: Students solve for x = 0 and x = -2
HW
C. Graph Linear Equations (Day 2)
Use the table from the previous problem to graph:
y = x + 2
x
y
1
3
0
2
-2
0
Application: Students graph:
4y - 2x = 8
y = 3x - 2, and
-2x + 2y = 4 or
Assignments:
Day 1:
Homework - Page 213, # 1-12
Day 2:
In Class - page 213, # 13, 14, 15 and Page 212, # 7
Homework - Page 213, # 16 - 48 evens
Day 3:
Homework - Page 213, # 17 - 47 odd