Question 143114
That's an interesting caveat - "...if it exists..."
All lines will have a slope, either positive, negative, zero, or undefined!
Let's see what your slope is.
{{{m = (y[2]-y[1])/(x[2]-x[1])}}}
Where:
{{{x[1]}}} and {{{y[1]}}} are taken from the first point (2, 5), and...
{{{x[2]}}} and {{{y[2]}}} are taken from the second point (3, -9)
Making the appropriate substitutions, we get:
{{{m = (-9-5)/(3-2)}}} Simplify.
{{{m = -14/1}}}
{{{m = -14}}}
Because the slope is negative, the line through the two given points leans to the left.
Here's a graph of the line:
{{{graph(400,400,-5,5,-10,10,-14x+33)}}}