Let Ï•(a)=mâ‹…a+b, where m and b are constants (slope and y-intercept respectively).
Let Y=Ï•(X)=mX+b.
Find values (exact fractions or decimals accurate to 4 places) of mm and bb such that Y is uniformly distributed on [0,1].
If there are multiple choices for m and b, please use the answer where m is positive.