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Find the equation of the line perpendicular to y=1 through the point (2,-3)

User FVod
by
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1 Answer

2 votes

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

y = 1

point (2 , -3)

perdicular line = ?

Step 02:

y = 1 ===> horizontal line

m = 0

Slope of the perpendicular line, m’

m' = - 1 / m

m ' = - 1 /0 ===> undefined (infinite)

Point-slope form of the line

(y - y1) = m (x - x1)

point (2,-3)​ ===> x1 = 2 y1 = -3

x = 2 ===> vertical line

The answer is:

x = 2