The equation is .
Rewrite the equation in slope-intercept form y = mx + c.
\ (Add 4x to each side)
(Commutative property:
)
(Simplify)
(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 = – 4/3 x + 6 \ | \
y \ | \
(x, y) \ |
\
– 4 \ | \
– 4/3 (– 4) + 6 \ | \
34/3 \ | \
(– 4, 34/3) \ |
\
– 2 \ | \
– 4/3 (– 2) + 6 \ | \
26/3 \ | \
(– 2, 26/3) \ |
\
0 \ | \
– 4/3 (0) + 6 \ | \
6 \ | \
(0, 6) \ |
\
2 \ | \
– 4/3 ( 2) + 6 \ | \
10/3 \ | \
(2, 10/3) \ |
\
4 \ | \
– 4/3 (– 4) + 6 \ | \
2/3 \ | \
(4, 2/3) \ |
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 for the equation is
\