Question

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

• the line represents a direct variation because \\(-\frac{4}{3} = \frac{4}{3}\\).
• the line represents a direct variation because it is horizontal.
• the line does not represent a direct variation because it does not go through the origin.
• the line does not represent a direct variation because \\(-4(3) \

eq 4(3)\\).

Explanation:

Determine the equation of the line

$$
LATEXBLOCK0
$$

Check the direct variation condition

$$
LATEXBLOCK1
$$

Match with the correct option

$$ \text{The line does not represent a direct variation because it does not go through the origin.} $$

Answer:

• The line represents a direct variation because \(-\frac{4}{3} = \frac{4}{3}\).
• The line represents a direct variation because it is horizontal.
• The line does not represent a direct variation because it does not go through the origin. (Correct answer)
• The line does not represent a direct variation because \(-4(3)

eq 4(3)\).