Write an equation of the line which passes through these points
(0, -4) and (0, 8)
Let's plot those two points:
As you see those two points are on the y-axis, so if we connect
them, the line will coincide with the y-axis -- in fact the line
IS the y-axis. So we want the equation of the y-axis. Look at
a couple more points on that line, the y-axis, say (0,5) and (0,-7).
Notice that all those point have 0 for their x-coordinate. Every point
on the y-axis has its x-coordinate 0, so the way the equation is made
is to state that fact in an equation about all the x-coordinates being
0. The equation that says that is:
x = 0
That is the equation of the y-axis, because every point on the y-axis
has its x coordinate as 0.
Edwin