Determine the equation of the line that is perpendicular to the given line,through the given point y=4;(-1,3)

Question

Determine the equation of the line that is perpendicular to the given line,through the given point y=4;(-1,3)

Answer 1

y=4 is a horizontal line with slope 0

So a line perpendicular to it would have an undefined slope m/0 and be a vertical line at some constant value, x

A vertical line has an undefined slope

According to the coordinates (-1, 3)

x = -1 has an undefined slope

You can check this out by looking up vertical and horizontal lines

Answer 2

y=4 is the equation of a horizontal line. a line perpendicular to that line will be vertical with constant x value and no defined slope. since the line goes through (-1,3), the equation of that line is x = -1.