Find the slope of line 4x=5y=1

Get y by it’s self so

Subtract 5y:

-5y+4x=1

Then get x to other side by subtracting 4x:

-5y=-4x+1

Then divide by - 5 to get y by it’s self:

y = (4/5) x + (1/-5)

And since there are two negatives - 4 and - 5 I took off the sign because they cancel out.

And slope is what is in front of x in the end so

4/5