you could construct another equation with a different slope and differen y intercept
y=mx+b
m=slope
b=yitertp
the slope in the given equation is 1
chang is
lets say the slope is 2
y=2x+b
(0,1)
(x,y)
1=2(0)+b
1=0+b
1=b
y=2x+1
it seems it can be y=mx+1 for all values of m except for m=1
some possible ones are
y=πx+1
y=-1x+1
y=-2x+1
y=3x+1
y=0.23432x+1
y=5x+1