Hi,        

Using the standard slope-intercept form for an equation of a line y = mx + b 

 where m is the slope and b the y-intercept. 

Using the point-slope formula,  to determine the slope

(2,3) and (4,-2)

 m = -2-3  / 4-2  = -5/2

y = (-5/2)x + b  Using ordered pair pt(2,3) to solve for b

3 = -5 + b

8 = b

y = (-5/2)x + 8

 

 

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