Answer:
To find the coordinates A, B, and C on the line \( y = x - 6 \), we need to substitute the given x-values into the equation to find the corresponding y-values.
Given:
- For point A: \( x = -7 \)
- For point B: \( x = -6 \)
- For point C: \( x = -5 \)
Let's find the y-values using the equation \( y = x - 6 \):
For point A:
\[ y = (-7) - 6 = -7 - 6 = -13 \]
So, point A is (-7, -13).
For point B:
\[ y = (-6) - 6 = -6 - 6 = -12 \]
So, point B is (-6, -12).
For point C:
\[ y = (-5) - 6 = -5 - 6 = -11 \]
So, point C is (-5, -11).
Therefore, the coordinates A, B, and C are:
- A (-7, -13)
- B (-6, -12)
- C (-5, -11)
