![\"\"](\"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=0506af8a7d250f9b86755d62d9f73806.png\")
.
Make a table; choose some values for x and find the corresponding values for y.
\| \
x \ | \
\
y = – 3x + 2 \ | \
\
y \ | \
\
(x, y) \ | \
| \
– 2 \ | \
\
= – 3 (– 2) + 2 = 6 + 2 = 8 \ | \
\
8 \ | \
\
(– 2, 8) \ | \
| \
– 1 \ | \
\
= – 3 (– 1) + 2 = 3 + 2 = 5 \\ | \
\
5 \ | \
\
(– 1,5) \ | \
| \
0 \ | \
\
= – 3 (0) + 2 = 0 + 2 = 2 \\ | \
\
2 \ | \
\
(0, 2) \ | \
| \
1 \ | \
\
= – 3 (1) + 2 = – 3 + 2 = – 1 \\ | \
\
– 1 \ | \
\
(1, – 1) \ | \
| \
2 \ | \
\
= – 3 (2) + 2 = – 6 + 2 = – 4 \\ | \
\
– 4 \ | \
\
(2, – 4) \ | \
![\"\"](\"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%20_linear_equations_y=-3x+2_y=x.gif\")
The graph of ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=0506af8a7d250f9b86755d62d9f73806.png\")
and both have a slope of ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=2af6e83b0e9af64878f4e8cc8c73d3f5.png\")
and 1,
but the graph of has a y-intercept of 2 instead of 0.
![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/solution.JPG\")
The graph of and both have a slope of and 1,
but the graph of has a y-intercept of 2 instead of 0.