Which of the following is the equation of a line that passes through the point (3,2) and is parallel to the y-axis? a. x = 2 b. y = 3 c. x = 3 d. y = 2

Option C is right answer

Step-by-step explanation:

We have in coordinate geometry a straight line in slope intercept form as

y = mx+c

where m is the slope and c is the y intercept

There are special lines when m=0 and m = infinity.

When a line is parallel to y axis, it has slope = tan90 = infinity.

Hence line will have equation of the form x = a for some a.

Since the line passes through (3,2) we can find a using this.

Substitute x value to get 3 = x

Hence equation of the line is x =3