Final answer:
The equations of the vertical and horizontal lines passing through the given point (-4, 7) are x = -4 and y = 7, respectively. So the correct answer is A) Vertical: (x = -4), Horizontal: (y = 7).
Step-by-step explanation:
The question asks about the equations of vertical and horizontal lines passing through a given point. A vertical line has an equation in the form of x = a, where a is the x-coordinate of the point through which the line passes. A horizontal line has an equation in the form of y = b, where b is the y-coordinate of the point through which the line passes.
For the point (-4, 7), the equation of the vertical line would be x = -4 because a vertical line crossing this point would have the same x-coordinate for all its points. Similarly, the equation of the horizontal line would be y = 7, as a horizontal line through this point would have the same y-coordinate for all its points. Therefore, the correct answer is A) Vertical: (x = -4), Horizontal: (y = 7).