writing equations

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the problem says to write an equation of the line that passes throught the given points.

( 8 , 5) (11, 14)

can you explain this to me.

thankyou
 
( 8 , 5) (11, 14)


let one set of points be (x1,y1) and the other (x2,y2) ,doesn't matter which.

m = (y2-y10/ (x2-x1)

this is the slope or gradient

y= mx + b is the general form of a striaght line equation.
Place the m value and one set of points(any) into this and slove for b

Now rewrite the equation using the m and b values and you have the answer.
 
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