Final answer:
The equation of the horizontal line passing through the point (-2,3) is y = 3, and the equation of the vertical line passing through the same point is x = -2.
Step-by-step explanation:
To find the equation of the horizontal line that passes through the point (-2,3), recall that a horizontal line has a slope of 0 and is described by the equation y = b, where b is the y-coordinate of any point the line goes through. Since the point (-2,3) lies on our horizontal line, the equation would be y = 3.
Similarly, for the vertical line passing through (-2,3), this type of line has an undefined slope and is described by the equation x = a, where a is the x-coordinate of any point the line goes through. Thus, the equation of the vertical line passing through the point (-2,3) is x = -2.