Question

Find the equation of the line perpendicular to the line y=-1, going through the point (-5,4)

Answer 1

we have that

y=-1

Is a horizontal line (parallel to the x-axis)

so

the perpendicular line to y=-1 is a vertical line (parallel to the y-axis)

the perpendicular line passes through the point (-5,4)

therefore

The equation of the perpendicular line is

x=-5