The equation is .
Rewrite the equation in slope-intercept form y = mx + c.
\ (Subtract 10 from each side)
(Commutative property of addition:
)
(Apply additive inverse property:
)
(Multiply each side by negative one)
(Product of two same signs is positive)
Graph by Making a Table:
\Make a table; choose some values for x and find the corresponding values for y.
\ \
x \ | \
\
y = – x + 10 \ | \
\
y \ | \
\
(x, y) \ | \
\
– 4 \ | \
\
– (– 4) + 10 \ | \
\
14 \ | \
\
(– 4, 14) \ | \
\
– 2 \ | \
\
– (– 2) + 10 \ | \
\
12 \ | \
\
(– 2, 12) \ | \
\
0 \ | \
\
– (0) + 10 \ | \
\
10 \ | \
\
(0, 10) \ | \
\
2 \ | \
\
– (2) + 10 \ | \
\
8 \ | \
\
(2, 8) \ | \
\
4 \ | \
\
– (4) + 10 \ | \
\
6 \ | \
\
(4, 6) \ | \
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 linear equation is