SOLUTION: In two or more complete sentences describe the process in writing the equation of a line given two points?

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: In two or more complete sentences describe the process in writing the equation of a line given two points?       Log On


   

Question 1127759: In two or more complete sentences describe the process in writing the equation of a line given two points?

Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
--------------------------------------
..., the equation of a line given two points?
-------------------------------------


Points (p,v) and (h,k)

slope %28v-k%29%2F%28p-h%29

Choosing (h,k) and the expression for slope, line contains points (x,y):
%28v-k%29%2F%28p-h%29=%28y-k%29%2F%28x-h%29
-
%28%28v-k%29%2F%28p-h%29%29%28x-h%29=y-k
y=%28%28v-k%29%2F%28p-h%29%29%28x-h%29%2Bk

and you can go one or two steps further, to put into form y=mx+b;
where m is slope and b is y-intercept. Specific examples for the two given points can be simplified into the specific equation.