![\"\"](\"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=6ad90cac0d1d3377f4ae83b5be4ec4e3.png\")
.
Make a table; choose some values for x and find the corresponding values for y.
\| \
x \ | \
\
y = 2x – 1 \ | \
\
y \ | \
\
(x, y) \ | \
| \
– 2 \ | \
\
= 2 (– 2)– 1 = – 4 – 1 = – 5 \ | \
\
– 5 \ | \
\
(– 2, – 5) \ | \
| \
– 1 \ | \
\
= 2 (– 1)– 1 = – 2 – 1 = – 3 \ | \
\
– 3 \ | \
\
(– 1,– 3) \ | \
| \
0 \ | \
\
= 2 (0)– 1 = 0 – 1 = – 1 \ | \
\
– 1 \ | \
\
(0, – 1) \ | \
| \
1 \ | \
\
= 2( 1)– 1 = 2 – 1 = 1 \ | \
\
1 \ | \
\
(1, 1) \ | \
| \
2 \ | \
\
= 2 (2)– 1 = 4 – 1 = 3 \ | \
\
3 \ | \
\
(2, 3) \ | \
![\"\"](\"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=2x-1_y=x(1).gif\")
The graph of ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=6ad90cac0d1d3377f4ae83b5be4ec4e3.png\")
and both have a slope of 2 and 1, but
the graph of has a y-intercept of ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=e4da73bf322daabc0435b28938e7cc82.png\")
instead of 0.
![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/solution.JPG\")
The graph of and both have a slope of 2 and 1, but
the graph of has a y-intercept of instead of 0.