find the equation of the line that is perpendicular to y=5 and passes through the point (2,3)

Question

please help, this question is throwing me off because of the "y=5" there is no x? so if you can help please do!

Answer 1

The line perpendicular to

Since the line is parallel to x-axis.

So, any line parallel to y -axis is perpendicular to , i.e where c is x intercept.

But here the perpendicular line passes through the point (2, 3)

since x intercept is 1, therefore .

The line perpendicular to and passes through the point (2, 3) is .

Comments

sorry ! _____ typo mistake ------------>

since the coordinate of x in the point (2, 3) is 2, therefore x = 2.

The line perpendicular to y = 5 and passes through the point (2, 3) is x = 2.

Answer 2

The line y = 5 is a horizontal line and parallel to x -axis.

We need perpenicular line equation so line equation will be x = k

Find the k value by substituing point (2 , 3)

2 = k

So, th eline equation is x = 2