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Determine whether varies directly with x, if so, find the constant of variation of k and write the equation.
 

xy

7

11
813
915
1017

 

Can you show steps too! smiley

 Oct 13, 2015
 #1
avatar+103061 
+5

Notice that, when y changes by 2, x changes by 1.......so the "constant of variation" is just the slope which is  :  change in y / change in x   = 2/1 = 2

 

So.....using the point (7, 11) and the slope....we can write the general equation  using the slope-intercept form as :

 

y =(2)(x - 7) + 11    simplify

 

y  = 2x - 14 + 11

 

y = 2x - 3

 

 

 

cool cool cool

 Oct 13, 2015

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