Friday, October 11, 2013

Slope, Distance and More

Ski Vacation? Nope, this is serious stuff; it’s about finding the slope of a line, finding the equation of a line with a given slope, finding the equation of the tangent line to a function, finding the distance between two points, finding the quadrant of a point, finding the midpoint of a line segment.  That’s a lot of lines and points, and functions too.

Basically, you have to follow the rules, no tricks, just knowing how to use it all.   We’ve added the line features to help you sort this through…step by step

Let’s start with a couple of examples.

Find the equation of a line given a point and slope m (click here):

All it takes is solving a linear equation to compute the y=intercept b

Let’s continue with the most challenging one, the tangent line.  It is only challenging b/c it requires derivation, and it is using all the line features we’ve seen so far.  So we have a function and a point, we have to start by finding the slope (that’s where we derivate), compute the slope at a given point, now we can find the tangent line ( slope + point = line)

Here is an example (click here):

You can check out more examples here.



  1. The distance calculator calculates the distance between two locations and shows the shortest path on a map (distance between cities).

  2. Very interesting looking post and I must appraise your efforts to write this post.

    Visit : advertise free online in pakistan


  3. I have collect much information on it keep posting here.
    Click Here : used cat wheel loader 938gii-aa003640u for sale

  4. Writing a 1000 word essay can be a harsh task, but you guys should click on my link for a good tutorial.

  5. Thanks so much for a great post. I'd like to know more about these topics and hope that I can receive more insight into this topic.
    Wow.. This is the fantastic place to find information. Here is so many type of knowledgeable thing which can help us.
    Click Here : Gulf News Classifieds Properties Online