November 2015 - Page 2 of 2 - Math and Multimedia

The effect of the sign of the slope in y = ax

November 16, 2015 GB High School Algebra, High School Mathematics

A linear function is a function whose equation is of the form $y = ax + b$ . We separate the discussion about it into two parts: $b = 0$ and $b \neq 0$ . In this post, we only discuss the graph of $y = ax + b$ where $b = 0$ . We discuss the effect of the sign of the slope in $y = ax$ .

If we let $b = 0$ , the equation $y = ax + b$ becomes $y = ax + 0$ or simply $y = ax$ .

Notice that if $x = 0$ , then $y = ax = a(0) = 0$ . This means that the graph contains the point with coordinates $(0,0)$ . Therefore, $y = ax$ passes through the origin.

Generalization 1: The graph $y = ax$ passes through the origin.

We now examine the effect of the values of $a$ . There are three cases: $a = 0$ , $a > 0$ , and $a < 0$ . » Read more

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GeoGebra Tutorial Updates

November 7, 2015 GB Announcements, Miscellaneous

For the past two months, I have been slowly updating my GeoGebra tutorials for GeoGebra 5.0. Several of the new updates include the series on GeoGebra Essentials. The updates of other tutorial series will follow in the next few weeks.

Due the busy schedule and the installation of security features due to recent hacks, I have not posted for almost two weeks. However, this blog has more than 1000 posts, so you have more than enough to read. You might also want to take a look at Math and Multimedia’s 50 most popular posts. You can also to explore the different categories at the top of the page.

Below are some recent posts of Math and Multimedia:

Enjoy reading!

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