SOLUTION: I am having trouble solving the relationship between x and f(x) for the following input output -1 3 0 2 1 1

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

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