Don't let this one scare
you either! Yes, there is no y
in the equation, so you can't solve for
"y
=", but that's okay. The reasoning works just like the previous
example. No matter what y
might happen to be, x
is always 4.

You'll do the T-chart
backwards, picking various y-values
and putting "4"
as the corresponding x-values:

Then the graph
fills in like this:

Any time you have an "x
equals a number" equation, with no y
in it, the graph will always be a vertical line like this.

Graph 4x
– 3y = 12

For this example, it's
simplest to first solve for "y
=". This is especially true if you're using a graphing calculator,
because graphing calculators can only handle "y
=".

So you're actually
graphing this equation:

Since you are going to
be multiplying your x-values
by a fraction, it is simplest to pick x-values
that are multiples of 3,
so the denominator will cancel out.

Here's the T-chart...

...and here's the
graph:

Graph –3x
= 6y – 2

Solve
first for "y
=":

Okay,
so computing the plot points for this one is going to be messy,
what with all the fractions. Do the best you can for the T-chart,
remembering that you'll be rounding values when you go to plot
the points:

Draw the graph:

Note that this graph needed
to be larger than what I've drawn before. That's because the points were
"messy", so I needed more points, and further apart, to make
sure the line was right. Take the time to be careful!

There are other methods
for graphing straight lines, such as graphing from the intercepts
or graphing
from the y-intercept and the slope.
You should expect to be required to be able to use any method that has
been introduced in your class.