Note: Consider the equation is
instead of
.
Given:
The graph of
goes through A(4,-80).
To find:
The value of k.
Solution:
We have,
![y=kx](https://img.qammunity.org/2021/formulas/mathematics/middle-school/15ggalazf8cpjag5fv34y8ftpnv14l6oxo.png)
It is passes through the point A(4,-80). It means, the point satisfy the equation.
Putting x=4 and y=-80, we get
![(-80)=k(4)](https://img.qammunity.org/2021/formulas/mathematics/college/p2zk5xlctry0cub5w33z4a93f7370ouzv0.png)
Divide both sides by 4.
![(-80)/(4)=k](https://img.qammunity.org/2021/formulas/mathematics/college/5alify87na7ivtm3eteab7athbcy6g67iu.png)
![-20=k](https://img.qammunity.org/2021/formulas/mathematics/college/2erlozqt1mnsztdbencmjptqvekjjr7hv0.png)
Therefore, the value of k is -20.