# Gradient of line between two points.

• Sep 26th 2010, 10:11 AM
ConotM8350
Gradient of line between two points.
Probably an easy one for you guys.
Find the Gradient of points (-3,4) (5,-2)
I keep getting -6 over 8.
If you could explain how you got the answer and where I'm going wrong that would be great!
• Sep 26th 2010, 10:19 AM
Raoh
the gradient (slope) is defined as $\displaystyle m=\frac{\Delta y}{\Delta x}$.
• Sep 26th 2010, 10:34 AM
RHandford
Quote:

Originally Posted by ConotM8350
Probably an easy one for you guys.
Find the Gradient of points (-3,4) (5,-2)
I keep getting -6 over 8.
If you could explain how you got the answer and where I'm going wrong that would be great!

As stated the slope is the rise for a given run. So in your example:

x=8 (-3,5) and y = -6 (4,-2) so the slope is -6/8 or -0.758

Hope this helps (Clapping)
• Sep 26th 2010, 10:37 AM
skeeter
Quote:

Originally Posted by ConotM8350
Probably an easy one for you guys.
Find the Gradient of points (-3,4) (5,-2)
I keep getting -6 over 8.
If you could explain how you got the answer and where I'm going wrong that would be great!

you are correct ...

$\displaystyle \displaystyle m = \frac{4 - (-2)}{-3 - 5} = -\frac{6}{8}$