Question

Which equation best describes the

Answer 1

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

$y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)$

$y-3=\dfrac{5-3}{1-0}(x-0)$

$y-3=\dfrac{2}{1}(x)$

$y-3=2x$

Adding 3 on both sides, we get

$y=2x+3$

Therefore, the correct option is C.