Hi,

slope of the line containing the points (-2,1) and (3,-5)



(-2,1) and (3,-5)

m = (-5-1)/(3-(-2) = -6/5 is the slope





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

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

equation of this line:

y = (-6/5)x + b  Using ordered pair (-2,1) to solve for b

1 = (-6/5)*-2 + b

1 - 12/5 = b

-7/5 = b

y = (-6/5)x -(7/5)



 

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