Question

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

Answer 1

$\frac{-7}{8}$

Explanation

Step 1

(a)

$-\frac{7}{8}x=y$

find one coordinate

when x=1

$\begin{gathered} -\frac{7}{8}x=y \\ -\frac{7}{8}\cdot1=y \\ y=\frac{-7}{8} \\ \text{then, when x= 1, y= -}\frac{7}{8} \end{gathered}$

Step 2

the constant of proportionality(k) is given by:

$k=\frac{y}{x}$

Let

x=1

y=-7/8

Replace

$\begin{gathered} k=\frac{y}{x} \\ k=\frac{\frac{-7}{8}}{1} \\ k=\frac{-7}{8} \end{gathered}$

I hope this helps you