Question 73700
To find the slope of a line through two given points, use the slope formula: {{{m = (y[2]-y[1])/(x[2]-x[1])}}} where: {{{x[1]}}} and {{{y[1]}}} are the x- and y-coordinates of one of the two points and {{{x[2]}}} and {{{y[2]}}} are the x- and y-coordinates of the other point. So, let's find the slope:
{{{m = (2-(-3))/(-5-(-5))}}}
{{{m = 5/0}}} Well, as you know, this is an undefined quantity and for slopes, a line whose slope is undefined is a vertical line.
The answer is:
The slope is undefined.  The line is a vertical line.