Question

for each equation determine whether X and Y are directly proportional if so then find the constant of proportionality

Answer 1

`(-7)/(8)`

Step-by-step explanation

Step 1

(a)

`-(7)/(8)x=y`

find one coordinate

when x=1

`\begin{gathered} -(7)/(8)x=y \\ -(7)/(8)\cdot1=y \\ y=(-7)/(8) \\ \text{then, when x= 1, y= -}(7)/(8) \end{gathered}`

Step 2

the constant of proportionality(k) is given by:

`k=(y)/(x)`

Let

x=1

y=-7/8

Replace

`\begin{gathered} k=(y)/(x) \\ k=((-7)/(8))/(1) \\ k=(-7)/(8) \end{gathered}`

I hope this helps you