Question

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

Answer 1

A -3/2

Explanation:

Answer 2

A) −3/2

Explanation:

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

`3x + 2y = 0`

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

`3x + 2y = 0\\2y=-3x\\y=(-3)/(2) x`

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

Therefore, the right answer is A.