Respuesta :

y-10=2/3(x-8)

This is because the slope is 2/3 and the point (8, 10) would be used properly here. 

Answer: Third option is correct.

Step-by-step explanation:

Since we have given that  

Two points are (8,10) and (-4,2)

We need to find the equation of line that contains the above points.

We will use "Two point slope form":

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1})\\\\y-10=\dfrac{2-10}{-4-8}(x-8)\\\\y-10=\frac{-8}{-12}(x-8)\\\\y-10=\dfrac{2}{3}(x-8)[/tex]

Hence, our required equation of line would be  

[tex]y-10=\dfrac{2}{3}(x-8)[/tex]

Therefore, Third option is correct.