the point (12, 9) is included in a direct variation what is the constant of variation?
In a direct variation equation, the relationship between two variables is represented by the formula y = kx, where k is the constant of variation.
To find the constant of variation when the point (12, 9) is included, we need to substitute the values of x and y into the equation and solve for k.
Given: x = 12, y = 9
Substituting into the equation: 9 = k * 12
To find k, we divide 9 by 12:
k = 9/12
Simplifying the fraction:
k = 3/4
Therefore, the constant of variation in this direct variation equation is 3/4.