Question

the graph of a proportional relationship contains the point 8 and 4 what is the corresponding equation enter your answer as a fraction in simplest form in the box

Answer 1

Answer:

$y=\frac{1}{2}x$.

Step-by-step explanation:

We have been given that the graph of a proportional relationship contains the point 8 and 4.

Since we know that a proportional equation is in form: $y=kx$, where k is constant of proportionality.

Let us substitute x=8 and y=4 in proportional equation to find constant of proportionality for our equation.

$4=k*8$

Upon dividing both sides of equation by 8 we will get,

$\frac{4}{8}=\frac{k*8}{8}$

$\frac{4}{8}=k$

$\frac{1}{2}=k$

Let us substitute k=1/2 in proportional equation.

$y=\frac{1}{2}x$

Therefore, our desired equation will be $y=\frac{1}{2}x$.