Thursday, December 24, 2009

How do you work out the gradient on a coordinate grid.?

Hi.


Im doing homework and i was wondering how do work out the gradient on a coordinate grid. I would appreciate it if you gave an example thanks.How do you work out the gradient on a coordinate grid.?
Ah, the way I always remember this: Uppy bit divided by alongy bit.


So if coordinates were from (1,2) to (2,4)


Uppy bit = 4-2= 2


Alongy bit = 2-1=1


2/1 = gradient of 2.How do you work out the gradient on a coordinate grid.?
鈭唝/鈭唜 = (y2 - y1)/(x2 - x1) ---%26gt; the 1 and 2 are subscripts





so suppose you have a line , you take two points on that line say:





(3, 4 ) and ( 4, 6 ) then your gradient is :





(6 - 4)/(4 - 3) = 2/1 = 2
You need two points that the line goes through, say (5,3) and (7,11). You then work out the change in y and divide by the change in y, so here we have (11-3) / (7-5) = 8/2=4





Hope this helps!
Gradient =Vertical/Horizontal.

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