Line KJ represents a proportional relationship. Point K lies at (12,14) as shown on the graph below. Which ordered pair could represent the coordinates of point J?

Given:

Line KJ represents a proportional relationship.

Point K lies at (12,14).

To find:

The ordered pair of the coordinates of point J.

Solution:

If y is proportional to x, then

Where, k is the constant of proportionality.

It means, the ratios of y to x for all the point in a proportional relationship are same.

Line KJ represents a proportional relationship. Point K lies at (12,14).

So, the constant of proportionality is:

Similarly, find the ratio of y to x for all given points.

In option a,

In option b,

In option c,

In option d,

The ratio of y to x of point (3,3.5) is equal to the ratio of given point K(12,14). So, the coordinates of point J are (3,3.5).

Therefore, the correct option is A.