To determine if the point (-10, 68) lies on the line defined by the equation \( y = -7x - 2 \), we can substitute the x-coordinate of the point into the equation and see if the resulting y-value matches the y-coordinate of the point.
Given the point (-10, 68):
- The x-coordinate is -10.
- The y-coordinate is 68.
Now, substitute \( x = -10 \) into the equation:
\[ y = -7(-10) - 2 \]
Calculating this step-by-step:
\[ y = 70 - 2 = 68 \]
Since the calculated y-value (68) matches the y-coordinate of the point (-10, 68), this means that the point does indeed lie on the line described by the equation \( y = -7x - 2 \).