
Hi Janice,
Graphing lines can
be accomplished by any of the following methods:

create a table of values by choosing values for
x and working out the values for y. Plot the resulting
points and join them with a straight line.
Ex. y = 2x  1
x: 2, 1, 0, 1, 2
y: 5, 3, 1, 1, 3
Now
plot (2, 5), (1, 3), (0, 1), (1, 1), and (2, 3) and join them
with a straight line.

find the xintercept and yintercept and join them
with a straight line
Ex. 3x + 4y = 12
xint: 3x = 12 yint: 4y
= 12
x = 4 y
= 3
Plot (4, 0) Plot
(0, 3)
Now join these 2 points to get the line.

determine the slope and yintercept of the line,
plot the yintercept and find a second point on the line by moving
vertically and horizontally according to the rise/run of the slope.
Ex. y = 3x + 5 slope = 3
(or 3/1 in "rise over run" form), yintercept = 5
Plot
the point (0, 5).
Move
up 3 units and to the right 1 unit from the yintercept. Plot a second point
here.
Now
join these two points to get the line.
To graph a linear inequality, follow the following steps:

Replace the inequality sign with an equal sign and
graph the resulting line.
 If the inequality is a greater than (>) or
a less than (<) you will graph the line as a dotted line.
 If the inequality includes "or equal to" as
in "greater than or equal to", you graph the line as
a solid line.

Choose a point on one side of the line (not on the
line!) and substitute the coordinates into the inequality
you started with.
 If you get a true mathematical statement
(like 4<9), then you want to shade the side of the line that
contains the point you used to do the test.
 If you get a false mathematical statement (like
0>3), then you want to shade the side of the line that does
not contain the point you used to do the test.
Hope this helps,
Leeanne

