Question

Three points of a function are graphed.

A coordinate plane with 3 points plotted at (10, 18), (14, 24), and (18, 30).
Which statement describes the function through the points?

The function is a direct variation function with a constant of variation of 1.5.
The function is a direct variation function with a constant of variation of 1.8.
The function is linear but is not a direct variation function.
The function is not a linear function.

Answer 1

The function is linear but is not a direct variation function.

Reason: Slopes between the points are equal: (24−18)/(14−10)=6/4=1.5 and (30−24)/(18−14)=6/4=1.5, so the points lie on a line y = 1.5x + 3. It does not pass through the origin, so it is not a direct variation.