Question

Tell whether the equation represents direct variation. If it does, give the constant of variation.

y = -3x
2y - 6 = 0
-6x + 4y = 0
Options:
A) For 1, yes with k = -3. For 2, no direct variation. For 3, yes with k = 1.5.
B) For 1, yes with k = 3. For 2, yes with k = 3. For 3, no direct variation.
C) For 1, no direct variation. For 2, no direct variation. For 3, no direct variation.
D) For 1, yes with k = 3. For 2, no direct variation. For 3, yes with k = 3.

Answer 1

Equation 1 represents direct variation with k = -3. Equation 2 does not represent direct variation. Equation 3 represents direct variation with k = 1.5.

Step-by-step explanation:

Linear equations of the form y = mx + b represent direct variation, where m is the constant of variation. Let's check each equation:

1. Equation 1: y = -3x represents direct variation with k = -3.
2. Equation 2: 2y - 6 = 0 does not represent direct variation because there is a constant term.
3. Equation 3: -6x + 4y = 0 represents direct variation with k = 1.5.

So the correct option is D) For 1, yes with k = -3. For 2, no direct variation. For 3, yes with k = 1.5.