SOLUTION: Find the slope, if it exists of the line containing the pair of points (2, 5) and (3, -9) The slope m = ? Will someone please help me with this I do not understand.

Question 143114: Find the slope, if it exists of the line containing the pair of points
(2, 5) and (3, -9)
The slope m = ?
Will someone please help me with this I do not understand.
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
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.

Where:
and are taken from the first point (2, 5), and...
and are taken from the second point (3, -9)
Making the appropriate substitutions, we get:
Simplify.

Because the slope is negative, the line through the two given points leans to the left.
Here's a graph of the line:

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