Question 2 Multiple Choice Worth 4 points)
(05.02)
Two quantities are related, as shown in the table:
X Y
2 3
4 4
6 5
8 6
Which equation best represents the relationship?
Oy = x + 2
Oy = x + 1
Oy = x + 2
Oy = 2x + 1

Option A : is the equation that best represents the relationship

Explanation:

From the given table, the coordinates of the two quantities are , , and

We need to determine the equation that best represent the relationship.

The equation can be determined by substituting the values in the slope - point formula,

First, we shall determine the slope.

Let us consider the coordinates and

The formula to find the slope is given by

Substituting these coordinates, we get,

Thus, the slope is

Now, we shall substitute any one of the coordinates and the slope in the formula

Let us substitute the coordinate and , we get,

Thus, the equation that best represents the relationship is

Hence, Option A is the correct answer.