Hi,

Using the point-slope formula, 

(3, -2) and 

(5, -6)  m = 4/-2 = -2

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.  

 y = -2x + b   |Using (3, -2) to solve for b

-2 = -2*3 + b

 4 = b

 y = -2x + 4





 

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