Answer:
![y=\frac{3}{4}x-1](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B3%7D%7B4%7Dx-1)
Step-by-step explanation:
Since we're looking at perpendicular lines, the slope of the new line is the reciprocal of the original line.
So the slope of our new line is ![\frac{3}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D)
So far, we are looking at ![y=\frac{3}{4} x+b](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B3%7D%7B4%7D%20x%2Bb)
Now we need to find the b value by plugging in the given point.
![2=\frac{3}{4}(4)+b\\ 2=3+b\\ b=-1](https://tex.z-dn.net/?f=2%3D%5Cfrac%7B3%7D%7B4%7D%284%29%2Bb%5C%5C%20%202%3D3%2Bb%5C%5C%20b%3D-1)
So the final equation is ![y=\frac{3}{4}x-1](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B3%7D%7B4%7Dx-1)
It’s 7 over 69 but 420 for a short answer