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Answer :

We have the next formula to calculate the slope between 2 points

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

where (x1,y1) is one point and the other is (x2,y2)

in this case, we have

(-2,10)=(x1,y1)

(1,5)=(x2,y2)

then we substitute the values

[tex]m=\frac{5-10}{1+2}=\frac{-5}{3}=-\frac{5}{3}[/tex]

the slope is -5/3