Answer
The equation of the horizontal line that passes through this point is $y = 7$.
The equation of the vertical line that passes through this point is $x = 4$.
Work Step by Step
We are given the point $(4, 7)$.
If a horizontal line passes through the given point, then each point on that line would have a y-coordinate of $7$; therefore, the equation of the horizontal line that passes through this point is $y = 7$.
If a vertical line passes through the given point, then each point on that line would have an x-coordinate of $4$; therefore, the equation of the vertical line that passes through this point is $x = 4$.