Which of the following is the equation for a line parallel to the y-axis & passing through (3,2)?

a) x=3
b) y=2
c) y=3/2
D) x=2/3

I know in slope intercept form it would be y=mx+b. But how do i do this in standard form?

any vertical line has the equation in the simple form x = c, c a constant

now from your given point, what would that x value be?

(the same way, any horizontal line has the simple form y = b, b a constant)

To find the equation of a line parallel to the y-axis and passing through the point (3, 2), you can use the knowledge that a vertical line has the equation in the simple form x = c, where c is a constant.

From the given point (3, 2), notice that the x-coordinate is 3. Therefore, the equation for a line parallel to the y-axis and passing through this point can be written as x = 3.

So, the correct answer is option a) x = 3. This equation represents a vertical line parallel to the y-axis passing through the point (3, 2).