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, 

(2, -9) and 

(4, 1)   m = -10/-2 = 5

 y = 5x + b

 1 = 5*4 + b

-19 = b

 y = 5x-19  

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