Question

plz answer this question guys ​

Answer 1

Step-by-step explanation:

mid points of given coordinate

(x2 + x1)/2

(-5 + 9)/2 = 4/2 = 2

(y2 + y1)/2

12 +(-2)/2 = 10/2 = 5

required mid point coordinate is (2,5)

now let these point divide coordinates (-8,-5) , (7 , 10) into k:1 ratio

then by section formula

(mx2 + nx1)/m+n = 2

(7 k + -8 × 1) k+1 = 2

7k -8 = 2k+2

7k -2k = 8 + 2

5k = 10

k = 2

(my2 + ny1 )/m+n = 5

10k -5 = 5k +5

5k = 10

k = 2

therefore these point divide coordinates (-8,-5) , (7 , 10) into 2:1 ratio