Given that, two lines having the same y-intercept are perpendicular. And the given equation is,
![y=-(4)/(5)x+6](https://img.qammunity.org/2023/formulas/mathematics/college/7la307bzvfgf2w5a7hbzwcspa2t8s13kd6.png)
Here, slope is -4/5, and y intercept is 6.
The slope of the perpendicular line is the negative reciprocal.
Therefore the equation for the perpendicular line is,
![y=(5)/(4)x+6](https://img.qammunity.org/2023/formulas/mathematics/college/by6eaq0tkdoyduqy3gtwykwij761t24p41.png)