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Use the form y=mx +b for linear equations.Write the equation for the following relation.C = {(x, y): (6, 15), (8, 21), (10, 27), . . .}



Answer :

I'm not sure if the answer is right, but here you go.

y=mx+b 

'm' is for gradient of the line. First, calculate the gradient.

Let's use (6,15) and (8,21)

Gradient, m = [tex]y_{2} [/tex] - [tex] y_{1} [/tex]
                    --------------
                     [tex] x_{2} [/tex] - [tex] x_{1} [/tex]
                 
                 =  21 - 15     = 6       = 3
                     -----------      ----   
                       8 - 6         2
           
Therefore, m = 3 . Now let's search 'b' .
Let's use (6,15) again. Substitute it into the equation.

y=mx+b 
15 = 3 (6) + b
b = -3

Thus, the equation : y=3x -3 



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