Question 694619: I am having trouble solving the relationship between x and f(x) for the following
input output
-1 3
0 2
1 1
Answer by MathLover1(20850)   (Show Source):
You can put this solution on YOUR website! the relationship between  and  for the following
 or 
given:
input output
........... or 
 
 
so, you are given three points which you can plot on a Cartesian coordinate system and graph a line that contains these points
(,)= (, )
(,)= (,)...this is 
(,)= (,)
now we can find the equation of a line passing through these points
| Solved by pluggable solver: FIND EQUATION of straight line given 2 points |
hahaWe are trying to find equation of form y=ax+b, where a is slope, and b is intercept, which passes through points (x1, y1) = (1, 1) and (x2, y2) = (0, 2).
Slope a is  .
Intercept is found from equation  , or  . From that,
intercept b is  , or  .
y=(-1)x + (2)
Your graph:
|
so,the equation of a line passing through these points is  where  and 
now we can check if all three given points lie on this line
as you can see, all three given points do lie on this line
|
|
|
