Answer: 4\3
Step-by-step explanation: Equation of line passing through (x1,y1) and (x2,y2) is given by
y-y1=[tex]\frac{y2-y1}{x2-x1} (x-x1)[/tex]
here x1=-2,y1=-3,x2=1 and y2=1
⇒ y+3=[tex]\frac{1+3}{1+2} (x+2)[/tex]
⇒ y+3=4(x+2)\3
⇒ y=4x\3 - 1\3
slope of line y=mx+c is equal to m
so slope=4\3