Question 775724
Shortest distance to the y axis is what is helpful.  No change in y value, from y=-3.  You would form a triangle.  One point is the given point (4, -3).  Another point is (0, -3) which is the distance TO the y axis.  The last point is ON the y axis but 6 units from (4, -3).  You just need the Distance Formula.


In fact, you might try this with just Pythagorean Theorem, and then avoid formal use of Distance formula.  You have two lengths.  One is 6 units, the other is 3 units.  Size of the other leg?

{{{L^2+3^2=6^2}}}, since the hypotenuse is 6 units.
{{{L^2=36-9}}}
{{{L^2=25}}}
{{{L=5}}} units long, but really, {{{L=+5}}} or {{{L=-5}}}.


Up 5 units from -3 is -3+5=2.
Down 5 units from -3 is -3-5=-8.


The answer for the point is then either or both of (0,2) or (0,-8).