$\"\"$

The equation is $\"\"$ .

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

$\"\"$

$\"\"$ (Commutative property of addition: $\"\"$ )

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

$\"\"$ (Divide each side by negative 3)

$\"\"$ (Cancel common terms)

$\"\"$ (Divide: $\"\"$ ) $\"\"$

Graph by Making a Table:

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

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \
\
x
\ \
y = – 2/3 x –7
\ \
y
\ \
(x, y)
\
\
– 4
\ \
– 2/3 (– 4) –7
\ \
– 13/3
\ \
(– 4, – 13/3)
\
\
– 2
\ \
– 2/3 (– 2) –7
\ \
– 17/3
\ \
(– 2, – 17/3)
\
\
0
\ \
– 2/3 (0) –7
\ \
– 7
\ \
(0, – 7)
\
\
2
\ \
– 2/3 (2) –7
\ \
– 25/3
\ \
(2, – 25/3)
\
\
4
\ \
– 2/3 ( 4) –7
\ \
– 29/3
\ \
(4, – 29/3)
\
\

$\"\"$

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 = – 2/3 x –7 \	\ y \	\ *(x, y)* \
\ – 4 \	\ – 2/3 (– 4) –7 \	\ – 13/3 \	\ (– 4, – 13/3) \
\ – 2 \	\ – 2/3 (– 2) –7 \	\ – 17/3 \	\ (– 2, – 17/3) \
\ 0 \	\ – 2/3 (0) –7 \	\ – 7 \	\ (0, – 7) \
\ 2 \	\ – 2/3 (2) –7 \	\ – 25/3 \	\ (2, – 25/3) \
\ 4 \	\ – 2/3 ( 4) –7 \	\ – 29/3 \	\ (4, – 29/3) \