find the equation of the straight line which passes through (2,-3) and is parallel with x axis or is parallel with y axis.

So, we have to write the equation of the line in 2
cases:

1) parallel to x
axis;

2) parallel to y
axis.

Let's write the equation of the line that passes
through the point (2,-3) and is parallel to x axis.

We'll
start from the standard form of the equation:

y = mx +
n

The point (2,-3) is on the line
if:

-3 = 2m + n

The line is
parallel to x axis so their slopes have to be equals.

Since
the slope of x axis is m=0, then the slope of the parallel line is also
m=0

The equation of the line is
:

-3 = 2*0 + n

n =
-3

y =
-3

2) When the line that passes through the
point (2,-3) is parallel to y axis, then the equation of the line
is:

x =
2