SOLUTION: Describe the process for dinding the equation of a line if you are given two point on the line. Please help I don't understand this at all.

Question 44896: Describe the process for dinding the equation of a line if you are given two point on the line.
Please help I don't understand this at all.
Answer by adamchapman(301) (Show Source): You can put this solution on YOUR website!
Not to worry. I find this one quite interesting.
You are given two sets of coordinates (, ) and (, ).
The generalised coordinates of any pooint (, ) on the line can be found using the following equation:

Make a note that this equation is EXTREMELY important, and it provides the easiest method for finding the equation of a line passing through 2 points.
We can then rearrange this to give the equationof the line in the form "y=mx+c" where "m" is the slope and "c" is the y-axis intercept.
The best way to show this is by using an example:
Find the equation of the line passing through (1,2) and (3,4).
So plug your values of into the important equation mentioned earlier:

Now rearrange to give the equation of the line in the form "y=mx+c":

I hope this helps.
P.S. I am trying to start up my own homework help website. I would be extremely grateful if you would e-mail me some feedback on the help you received to adam.chapman@student.manchester.ac.uk
Adam

RELATED QUESTIONS
Describe the process for finding the equation of a line if you are given two points on... (answered by jim_thompson5910)

Describe how you would determine an equation for a line given the ordered pairs for two... (answered by mananth)

In two or more complete sentences describe the process in writing the equation of a line... (answered by josgarithmetic)

hello, im a student in calculus and i need help on some of the equation solving... (answered by Alan3354)

if you are given the slope and a point on the line, explain how you would use the... (answered by ewatrrr)

Please help? I don;t understand the process of this. The following problem can be... (answered by ankor@dixie-net.com,scott8148)

HELP WITH ALGEBRAIC PROBLEMS!!! Write the equation of a line parallel to the given... (answered by stanbon,Fombitz,josmiceli)

Can I write a equation of a line if you know one point on the... (answered by nerdybill)

I have two right triangles that are connected at point x. On the right, there is triangle (answered by CPhill)