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A line contains the points \((a,b)\) and \((a+3,b+3)\). Find the equation of the line in terms of \(a\) and \(b\) in point-slope form, and then convert it to slope-intercept form.

SpaceModo  Nov 30, 2017
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(a, b)   (a + 3, b+ 3)

 

The slope is     [  b + 3 - b ]  / [ a + 3 - a ]   =  3 / 3   =  1

 

Point-slope form

 

y - b  =  1 ( x - a)

 

Slope-intercept form

 

y  = x - a + b

 

Or

 

y =  x + (b - a)

 

 

 

cool cool cool

CPhill  Nov 30, 2017

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