![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/step1.JPG\")
Graph by Making a Table:
\The equation is ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=67f95feaedc0501f2b0b96e425b85a1e.png\")
.
Make a table; choose some values for x and find the corresponding values for y.
\| \
x \ | \
\
y = –x \ | \
\
y \ | \
\
(x, y) \ | \
| \
– 2 \ | \
\
= – (– 2) = 2 \ | \
\
2 \ | \
\
(– 2, 2 ) \ | \
| \
– 1 \ | \
\
= – (– 1) = 1 \ | \
\
1 \ | \
\
(– 1, 1) \ | \
| \
0 \ | \
\
= – ( 0 ) = 0 \ | \
\
0 \ | \
\
(0, 0) \ | \
| \
1 \ | \
\
= – ( 1) = –1 \ | \
\
–1 \ | \
\
(1, – 1) \ | \
| \
2 \ | \
\
= – ( 2) = – 2 \ | \
\
– 2 \ | \
\
(2, – 2) \ | \
![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/step2.JPG\")
Use these ordered pairs to graph the equation.
\1. Draw a coordinate plane.
\2. Plot the points.
\3. Draw a line through these points.
\4.Draw a line ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=e5877a961396b9907d4693a156a5635b.png\")
.
![\"Compare](\"/userfiles/image/Library/Algebra%202/graph%20of_linear_equation_y=-x_y=x(1).gif\")
The graph of and both have a y-intercept of 0, but the graph of ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=67f95feaedc0501f2b0b96e425b85a1e.png\")
has a slope of ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=e4da73bf322daabc0435b28938e7cc82.png\")
instead of 1.![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/solution.JPG\")
The graph of and both have a y-intercept of 0, but the graph of
has a slope of ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=e4da73bf322daabc0435b28938e7cc82.png\")
instead of 1.