y = -6 when x = -2
y varie directly with x. what equation relates x and y?
x/y = -2/-6
To determine the equation that relates x and y when y varies directly with x, we can use the formula for direct variation:
y = kx
In this equation, k represents the constant of variation. To find the value for k, we can use the given information that y = -6 when x = -2.
Substituting these values into the equation, we have:
-6 = k(-2)
To solve for k, we divide both sides of the equation by -2:
-6 / -2 = k
Simplifying the expression gives us:
3 = k
Thus, the equation that relates x and y when y varies directly with x is:
y = 3x