Question

How do you tell wether the equation 3x+y=6 represents direct variation and if so, how do you identify the constant of variation?

Answer 1

Answer:

Step-by-step explanation:

Equation 3x+y=6 does not represent a direct variation.

Therefore, there is no constant of variation.

The constant of variation can be determined by first rewriting the equation in slope-intercept form: y=mx+b

where:

y is the y-coordinate

m is the slope

x is the x-coordinate

b is the y-intercept

- In the case of direct variation, b, the y-intercept, is always 0.

- Rearranging the given equation into slope-intercept form, the y-intercept is not 0:

-this is ;3x+y=6---- y=−3x +6

The y-intercept is 6. Because it is not 0, the equation does not represent direct variation and hence there is no constant of variation.