Given the point:
(-1, 4)
Let's find the equation of the line that passes through the point and is perpendicular to the line x = -4.
Here, the given line x = -4 is a vertical line that is always at x = -4.
The slope of a vertical line is undefined.
Since x = -4 is a vertical line it means the slope is undefined.
The slope of a line perpendicular to a vertical line is always zero.
Also, the line perpendicular to a vertical line must be a horizontal line.
Therefore, since the perpendincular line passes the point (-1, 4), it means the line will be:
y = 4
hereforem, the equation of the line that passes through the point (-1, 4) and is perpendicular to the line x = -4 is:
y = 4
ANSWER:
y = 4