Question

Write an equation of the direct variation that includes the point (9, -12).

A. y= -1 (1/3)x
B. y= - 3/4x
C. y= 1 (1/3)x
D. y= - 1/12x

Answer 1

The equation of direct variation that includes the point (9, -12) is y = -4/3x.

Step-by-step explanation:

The equation of direct variation is represented by the equation y = kx, where k is the constant of variation. To find the equation of direct variation that includes the point (9, -12), we can substitute the x and y values from the given point into the equation and solve for k.

Substituting x = 9 and y = -12, we get -12 = 9k. Solving for k, we find that k = -12/9 = -4/3.

Therefore, the equation of direct variation that includes the point (9, -12) is y = -4/3x.