Lines
in the Plane
When you are done with this
section, you will be able to do the following:
- Find the slope of the line between two
points
- Find the equation of a line (in the
form y = mx + b) given two points
- Find the equation of a line (in the form y = mx + b) given one point and the slope
- Determine whether two lines are parallel,
perpendicular, or
neither
Slope On-line Notes:
Additional Slope On-line Resources:
Equations of Lines On-line Notes:
Additional Equations of Lines On-line
Resources:
Parallel and Perpendicular On-line
Notes:
AdditionalParallel and Perpendicular On-line
Resources:
Lines in the Plane Homework:
The Lines in
the Plane Homework contains 8 problems.
Things to remember:
- Most of the problem are asking for m
and b. These are just the numbers that you would plug
into the formula y = mx + b
- Intercepts are points and must be
written as ordered pairs (x-intercepts
look like (x, 0) and y-intercepts look like (0, y)).
- You should try to do all problems
algebraically (without a
graphing calculator).
- You need to make sure the equation is
in y
= mx + b form in order to read
the slope as the coefficient of x
- Lines that are parallel have the same
slope. Lines that are perpendicular have slopes that are negative
reciprocals of each other.
Homework examples:
Keep in mind that it is recommended that you
also complete all the
problems in the set called "also
recommended" with the same number as the Lines in the Plane Homework. There are
many
different ways to ask the same questions. This will allow you to
see
additional problems that are related to this topic.
© 2005 Elizabeth E. K. Jones and the ASU Department of
Mathematics and Statistics - All rights reserved.
