Tell whether this equation represents a direct variation. If so, identify the constant of variation.

4y = x

yes, it varies directly. and the constant is -4

Answered by Autumn13 | 2024-06-10

The given equation is: 4y = x.
To determine if this equation represents a direct variation, we need to check if it can be written in the form y = kx, where k is the constant of variation.
Step 1: Divide both sides of the equation by 4: y = (1/4)x.
Step 2: Now the equation is in the form y = kx where k = 1/4, so the equation represents a direct variation with the constant of variation being 1/4.

Answered by Burger1123 | 2024-06-24

The equation 4 y = x represents direct variation. When rearranged, it shows that y = 4 1 ​ x , indicating that the constant of variation is 4 1 ​ . Therefore, they have a linear relationship with a direct proportionality.
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Answered by Autumn13 | 2024-10-10