Write an equation for the line that passes through the point

Write an equation for the line that passes through the point (3, 2) and whose slope is undefined. Give your answer in standard form. A. x = 2 B. y = 3 C. y = 2 D. x = 3

Solution

The slope is undefined. So it is parallel to y-axis.

So its equation is of the form

x=a ... (1)

This passes through (3,2) =(x,y)

Substitute this point in (1),

3 = a

Substitute this in (1) again, we get

x=3 which is the equation of the required line.

So D is the answer.