Note: The first point of the table should be (-2,-1) instead of (-1,-2). because (-1,-2) does not satisfy the relation.
Given:
Consider the table of values is
x y
-2 -1
0 3
1 5
3 9
To find:
The equation that best describes the relationship between the corresponding values of x and y.
Solution:
Consider any two points from the given table, i.e., (0,3) amd (1,5).
So, the equation of line is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-3=\dfrac{5-3}{1-0}(x-0)[/tex]
[tex]y-3=\dfrac{2}{1}(x)[/tex]
[tex]y-3=2x[/tex]
Adding 3 on both sides, we get
[tex]y=2x+3[/tex]
Therefore, the correct option is C.
