Question

Write and equation that relates the variable. Then find X when y= -6.

Answer 1

Answer;

We can have the equation as;

$\begin{gathered} y\text{ = 3x} \\ \text{if y = -6, then x = -2} \end{gathered}$

where 3 is k which is the proportionality constant

Explanation;

Firstly, we need to understand the relation of being directly proportional

When two variables are proportional, the relationship between them is of the nature;

$y\text{ = kx}$

where K is the proportionality constant

We can have k as 3, and that means we have the relationship as;

$y\text{ = 3x}$

So, from the question, x is ? and y = -6; we can have x calculated as;

$\begin{gathered} -6\text{ = 3x} \\ x\text{ = }\frac{-6}{3} \\ x\text{ = -2} \end{gathered}$