It is known that the two solutions of the binary linear equation are x = - 1, y = 1 and x = 1, y = 4

It is known that the two solutions of the binary linear equation are x = - 1, y = 1 and x = 1, y = 4

Let the quadratic equation be
y=kx+b,
Then,
1=-k+b
4=k+b
The solution is that,
k= 3/2;b=5/2
So the quadratic equation of two variables is
y=3x/2+5/2
Namely
3x-2y+5=0