Question

Write an equation of the direct variation of the given point (-2,3). first find K (k=y/x) and put k back into y=kx

a) y= 3/2x
b) y=− 2/3x
c) y=− 3/2x
d) y= 2/3x

Answer 1

To find the equation of the direct variation given the point (-2,3), you need to find the value of k (k=y/x) and substitute k back into the equation y=kx. The equation of the direct variation is y = (-3/2)x (option c).

Step-by-step explanation:

To find the equation of the direct variation given the point (-2,3), we need to find the value of k (k=y/x) and substitute k back into the equation y=kx.

1. To find k, we can substitute the values of x and y from the given point: k = y / x = 3 / (-2) = -3/2.
2. Now, we can substitute k = -3/2 back into the equation y=kx: y = (-3/2)x.

So, the equation of the direct variation is y = (-3/2)x (option c).