To determine if the point (0, -5) is on the line given by the equation \( y = x - 5 \), we need to substitute the x-coordinate and y-coordinate of the point into the equation.
Given the point \((0, -5)\):
- Here, \( x = 0 \) and \( y = -5 \).
Substituting \( x = 0 \) into the equation: \[ y = 0 - 5 = -5 \]
Since the calculated \( y \) value (-5) matches the y-coordinate of the point (-5), the point (0, -5) is indeed on the line.
So, the correct answer is:
Yes, because when you substitute 0 for x and −5 for y, the equation is true.