What is the system of equations?

Question

The two points are the following:
(2,48) and (5,750)

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Answer 1 · 2018-02-10T21:51:51

Assumption: 2 points -> one equation of a strait line.
#y=234x-420#

Using the gradient approach

Let the gradient be #m->("change in "y)/("change in "x)#

#m=(750-48)/(5-2) = 702/3#

So for the given point ( I chose ) #(x,y)->(2,48)# we have

#702/3=(y-48)/(x-2)#

Cross multiply

#702(x-2)=3(y-48)#

#702x-1404=3y-144#

#3y=702x-1260#

#y=234x-420#