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.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> 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.      Log On


   



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) About Me  (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.
m+=+%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29
Where:
x%5B1%5D and y%5B1%5D are taken from the first point (2, 5), and...
x%5B2%5D and y%5B2%5D are taken from the second point (3, -9)
Making the appropriate substitutions, we get:
m+=+%28-9-5%29%2F%283-2%29 Simplify.
m+=+-14%2F1
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%28400%2C400%2C-5%2C5%2C-10%2C10%2C-14x%2B33%29