Question

What is the relationship between x and y

Answer 1

Given:

Given that the table with values of x and y.

We need to determine the relationship between x and y.

Slope:

The slope of the relation can be determined using the formula,

$m=\frac{y_2-y_1}{x_2-x_1}$

Substituting the points (2,11) and (4,9), we get;

$m=\frac{9-11}{4-2}$

$m=\frac{-2}{2}$

$m=-1$

Thus, the slope of the relation is m = -1.

y - intercept:

The y - intercept of the relation is the value of y when x = 0.

Hence, from the table, it is obvious that when x = 0, the value of y is 13.

Thus, the y - intercept of the relation is b = 13.

Relationship between x and y:

The relationship between x and y can be determined using the formula,

$y=mx+b$

Substituting m = -1 and y =13, we get;

$y=-x+13$

Thus, the relationship between x and y is $y=-x+13$