$\"\"$ $\"\"$

The equation is $\"\"$ .

Rewrite the equation in slope-intercept form y = mx + c.

Apply subtraction property of equality: Subtract 2x from each side.

$\"\"$

$\"\"$ (Apply commutative propertyof addition: $\"\"$ )

$\"\"$ (Apply additive inverse property: $\"\"$ )

$\"\"$ (Divide each side by negative 2)

$\"\"$ (Cancel common terms)

$\"\"$

Graph by Making a Table:

Make a table; choose some values for x and find the corresponding values for y.

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \
\
x
\ \
y = x – 3/2
\ \
y
\ \
(x, y)
\
\
– 4
\ \
– 4– 3/2
\ \
– 11/2
\ \
(– 4, – 11/2)
\
\
– 2
\ \
– 2– 3/2
\ \
– 7/2
\ \
(– 2, – 7/2)
\
\
0
\ \
0– 3/2
\ \
– 3/2
\ \
(0, – 3/2)
\
\
2
\ \
2– 3/2
\ \
1/2
\ \
(2, 1/2)
\
\
4
\ \
4– 3/2
\ \
5/2
\ \
(4, 5/2)
\
\

$\"\"$

Use these ordered pairs to graph the equation.

1. Draw a coordinate plane.

2. Plot the points.

3. Draw a line through these points.

$\"graph$

$\"\"$

Graph for the equation $\"\"$ is

$\"graph$

\ x \	\ y = x – 3/2 \	\ y \	\ *(x, y)* \
\ – 4 \	\ – 4– 3/2 \	\ – 11/2 \	\ (– 4, – 11/2) \
\ – 2 \	\ – 2– 3/2 \	\ – 7/2 \	\ (– 2, – 7/2) \
\ 0 \	\ 0– 3/2 \	\ – 3/2 \	\ (0, – 3/2) \
\ 2 \	\ 2– 3/2 \	\ 1/2 \	\ (2, 1/2) \
\ 4 \	\ 4– 3/2 \	\ 5/2 \	\ (4, 5/2) \