The equation 3x + 2y = 0 represents a proportional relationship. What is the constant of proportionality?

A) −3/2
B) −2/3
C) 2/3
D) 3/2

Respuesta :

Answer:

A -3/2

Step-by-step explanation:

Answer:

A) −3/2

Step-by-step explanation:

In this case, the constant of proportionality refers to the slope of the linear equation

[tex]3x + 2y = 0[/tex]

The easiest way to find the slope is by expression the linear equation is the slope-intercept form, that is, isolating y:

[tex]3x + 2y = 0\\2y=-3x\\y=\frac{-3}{2} x[/tex]

So, the slope is -3/2. This means that the constant is -3/2.

Therefore, the right answer is A.