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x1=-12/5 ....y1=0
x2=-3.....y2=-3/2
x-x1/(x2-x1)= y-y1/(y2-y1)
x-(-12/5)/(-3-(-12/5))=y-0/(-3/2-0)
simplificando
x+12/5/(-3+12/5)=y/(-3/2)
(-3/2)*(x+12/5)=y (-3+12/5)
-3/2x-18/5=-3y+(12/5)y
-3/2x-18/5=-3/5y
3/5y= 3/2x+18/5
y= (3/2x +18/5)/ (3/5)
y= 5/2x+6
la pendiente es 5/2
espero haberle ayudado