y=5x -125 ————- X-5

Interpret as a single fraction: y = (5x - 125) / (x - 5).

• Factor numerator: 5x - 125 = 5(x - 25).
• Do polynomial division: (5x - 125) ÷ (x - 5) gives quotient 5 and remainder -100.

So the simplified form is:

• y = 5 - 100/(x - 5), for x ≠ 5.

Notes:

• Domain: x ≠ 5
• Vertical asymptote: x = 5
• Horizontal asymptote: y = 5
• Intercepts: y-intercept at x = 0 gives y = 25; x-intercept when 5x - 125 = 0 → x = 25 (and x ≠ 5).