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I don't quite understand the equation for a coordinate plane and slope. I know what the equation is but can someone explain it? THANK YOU

ISmellGood  Aug 24, 2017
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 #1
avatar+76108 
+2

 

I assume you want to write the equation of a line given two points....OK....!!!

 

Let's assume that the points  are   (1,2)  and  (6,12)

 

1.  To find the slope, first subtract the y coordinates in any order..... I'll use 12 - 2  = 10

2.  Now....subtract the x coordinates in the SAME order....so we have.....6 - 1  = 5

3. To find the slope....put  (1)  over (2)  =  10 / 5   = 2

 

Now....using EITHER  of the points.....the equation is

 

y =  slope ( x - x coordinate of point we choose)  +  y coordinate of the point we choose

 

So ...using  (1,2) we have

 

y= 2 ( x - 1) + 2    simplify

 

y = 2x - 2 + 2

 

y  = 2x       and that's our line.....!!!

 

Note that  using  (5,10)  would produce the SAME result

 

y = 2 ( x - 5) + 10

 

y = 2x - 10 + 10

 

y  = 2x  .....   !!!

 

Hope that helps....!!!

 

 

 

cool cool cool

CPhill  Aug 24, 2017
 #2
avatar+154 
+1

OMG THANKS SO MUCH! cool

ISmellGood  Aug 24, 2017
 #3
avatar+76108 
0

 

No prob....!!!!

 

 

 

cool cool cool

CPhill  Aug 24, 2017

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