Final answer:
The equation of the vertical line through the point (-8,-10) is x = -8.
Step-by-step explanation:
The equation for a vertical line is of the form x = k, where k is the x-coordinate of any point on the line. In this case, since the line passes through the point (-8, -10), the equation for the vertical line is x = -8. This means that for any point (x, y) on the line, the x-coordinate will always be -8. The vertical line through the point (-8, -10) is represented by the equation x = -8. This equation emphasizes that the line extends infinitely in the vertical direction and intersects the x-axis at x = -8.