y intercept = -2/5

means when x= 0, y= -2/5. It's the point (0, -2/5)

y = -2/5 = 1/(x-2.5) = 1/(0-2.5) = 1/-2.5 = -2/5

y= 1/(x-2.5) has a vertical asymptote x=2.5 as that makes the denominator =0

y intercept = -2/5 when x = 0

y= 1/(0-2.5) = 1/-2.5 = -1/2.5 = -2/5

the equation with y intercept =-2/5 and asymptote x=2.5

is

y= 1/(x-2.5)

or y= 1/(x-5/2) = 1/(2x/2 -5/2) = 1/((2x-5)/2) = 2/(2x-5)

y= 2/(2x-5)

or if you don't like fractions

2xy -5y = 2

when x= 0, -5y=2 and y = -2/5 = the y intercept

when x = 2.5 = 5/2, 2(5/2)y -5y = 2

5y-5y = 2

0 = 2

which is a contradiction

x=2.5= 5/2 is an asymptote