What’s the linear equation for (1,21)(2,33)(3,45)(4,57)

The linear equation representing the above said pair of points is "y=12x+9"

Step-by-step explanation:

The given set of points are  

xY

121

233

345

457

For finding the linear equation for the given sets of value

We must know the generic form of a linear equation is y=m*x + c

m= slope of the line where y= Δy/Δx  

Δy= change in y value

Δx= change in x value

Thus slope ”m” = 33-21/2-1 = 12

we put slope “m” in the equation which becomes y=12x+c

Now we put any of the set value in the equation

33= 12*2+c ∴ c=9

Hence required linear equation is y=12x+9