a line is drawn through (-4, 3) and (4, 3). which describes whether or not the line represents a direct…

a line is drawn through (-4, 3) and (4, 3). which describes whether or not the line represents a direct variation?\nthe line represents a direct variation because -\\frac{4}{3}=\\frac{4}{3}.\nthe line represents a direct variation because it is horizontal.\nthe line does not represent a direct variation because it does not go through the origin.\nthe line does not represent a direct variation because -4(3)\\neq4(3).

a line is drawn through (-4, 3) and (4, 3). which describes whether or not the line represents a direct variation?\nthe line represents a direct variation because -\\frac{4}{3}=\\frac{4}{3}.\nthe line represents a direct variation because it is horizontal.\nthe line does not represent a direct variation because it does not go through the origin.\nthe line does not represent a direct variation because -4(3)\\neq4(3).

Answer

Answer:

The line does not represent a direct variation because it does not go through the origin.

Explanation:

Step1: Recall direct - variation definition

A direct variation is of the form $y = kx$, which passes through the origin $(0,0)$.

Step2: Check if the given line passes through origin

The line passes through $(-4,3)$ and $(4,3)$. Substituting $x = 0$ into the equation of a line passing through these points, we find that the line is $y = 3$ (since the $y$-coordinate is constant). It does not pass through $(0,0)$. So it is not a direct - variation.