7.2 General Form
The general form for a linear equation is:
A, B, C are integers (no fractions or decimals) in reduced form.
A must be a positive value.
An equation of a line must be written in
form before it can be written
in general form.
Ex. 1) Write in proper general form.
or
Ex. 2) Convert to general form.
or
Ex. 3) Sketch a graph of
Method #1 – using
.
Method #2 – using the x & y intercepts
Ex. 4) Spencer has 66 GB of disk space left on his laptop to fill with TV shows and movies
that he purchases online.
a) Suppose a one-hour show uses 1.1 GB of disc space and a movie uses 4.4 GB. Write
a linear equation that represents the number of TV shows (T) and movies (M) that
Spencer can store on his laptop.
b) Determine the T-intercept of a graph of the linear equation. What does the Tintercept represent?
c) What would the M-intecept be? What does it represent?
d) If Spencer stores 16 television shows, how many movies does he have space for?
Horizontal Lines
have no x-variable in the equation
the slope = 0
Vertical Lines
have no y-variable in the equations
the slope is undefined