Question

Solve this quick please thank you.

Answer 1

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

Explanation:

Inverse proportions can be represented by an equation in the form:

`\boxed{y=(k)/(x)}`

where:

• y and x are the two quantities in the proportion.
• k is the constant of proportionality.

To write an expression for the graphed function, first input the given point (-2, 4) into the inverse proportion equation and solve for k:

`\implies y=(k)/(x)`

`\implies 4=(k)/(-2)`

`\implies 4 \cdot (-2)=(k)/(-2)\cdot (-2)`

`\implies -8=k`

`\implies k=-8`

Therefore, the expression for the graphed function is:

`\boxed{y=-(8)/(x)}`